# bib

id: ma-63
author: Rossafi, Mohamed; Kari, Abdelkarim; Massit, Hafida
date: 2022-03-17
pages: 8
extension: .pdf
mime: application/pdf
words: 2669
sentence: 207
flesch: 82
cache: cache/ma-63.pdf
txt: txt/ma-63.txt
title:
  On the α−ψ−Contractive Mappings in C∗-Algebra Valued b-Rectangular Metric Spaces and Fixed Point Theorems

summary:
  Combining conditions used for definitions of C∗-algebra valued metric and generalized metricspaces, G Kalapana and Tasneem [4] announced the notions of C∗-algebra valued metric space andestablish nice results of fixed point on such space. fixed point; C∗-algebra valued metric spaces; α − ψ− contraction; α − ψ − C∗ valuedcontraction.


id: ma-28
author: Khafagy, Salah A.; Serag, Hassan M.
date: 2022-02-08
pages: 8
extension: .pdf
mime: application/pdf
words: 2402
sentence: 180
flesch: 67
cache: cache/ma-28.pdf
txt: txt/ma-28.txt
title:
  Stability of Positive Weak Solution for Generalized Weighted p-Fisher-Kolmogoroff Nonlinear Stationary-State Problem

summary:
  In the present paper, we investigate the stability results of positive weak solution for thegeneralized Fisher–Kolmogoroff nonlinear stationary-state problem involving weighted p-Laplacianoperator −d∆P,pu = ka(x)u[ν−υu] in Ω, Bu = 0 on ∂Ω, where ∆P,p with p > 1 and P = P (x)is a weight function, denotes the weighted p-Laplacian defined by ∆P,pu ≡ div[P (x)|∇u|p−2∇u],the continuous function a(x) : Introduction: In this paper we study the stability results of positive weak solution for the generalized weighted p-Fisher–Kolmogoroff nonlinear stationary-state problem −d∆P,pu = ka(x)f (u) = ka(x)u[ν −υu] in Ω, Bu = 0 on ∂Ω, } (1.1) where ∆P,p with p > 1 and P = P (x) is a weight function, denotes the weighted p-Laplaciandefined by ∆P,pu ≡ div[P (x)|∇u|p−2∇u] (see for details [6]), the continuous function a(x) :


id: ma-77
author: Lasode, Ayotunde Olajide; Opoola, Timothy Oloyede
title: Some Investigations on a Class of Analytic and Univalent Functions Involving q-Differentiation
date: 2022-03-18
pages: 9
extension: .pdf
mime: application/pdf
words: 2361
sentence: 231
flesch: 81
cache: cache/ma-77.pdf
txt: txt/ma-77.txt
summary:
  Analytic functions; Carathéodory functions; univalent functions; bounded turning function;coefficient bound; inclusion property and q-calculus. Since class BT q(δ) is well-known to consist of univalent functions, then Eq(β,δ)⊂BT q(δ) consists of univalent functions.


id: ma-61
author: Shamshad Husain; Asad, Mohd
title: Solving Equilibrium Problem and Fixed Point Problem by Normal S-iteration Process in Hilbert Space
date: 2022-01-17
pages: 10
extension: .pdf
mime: application/pdf
words: 2931
sentence: 241
flesch: 80
cache: cache/ma-61.pdf
txt: txt/ma-61.txt
summary:
  That is, F (q, p̂) ≤ 0, ∀q ∈ C. (24) Further for any λ ∈ (0 , 1) and q ∈ C, let qλ = λq q ∈ C, which is equivalent to 3rq2


id: ma-58
author: Rossafi, Mohamed; El Jazzar, Roumaissae; Kacha, Ali
title: ∗-K-Operator Frame for Hom∗A(X)
date: 2021-12-16
pages: 10
extension: .pdf
mime: application/pdf
words: 3587
sentence: 225
flesch: 79
cache: cache/ma-58.pdf
txt: txt/ma-58.txt
summary:
  Let {Ti}i∈I ⊂ Hom∗A(X) be an ∗-K-operator frame for X with bounds A and B and frame operators ST and {Pj}j∈J ⊂ Hom∗B(Y) be an ∗-L-operator frame for K with bounds C and D and frame operators SL. Then by the uniqueness of frame operator, the last expression is equal to ST⊗P (ξ⊗η).


id: ma-94
author: Regmi, Samundra; Argyros, Ioannis K.; George, Santhosh ; Argyros, Christopher I.
title: Developments of Newton’s Method under Hölder Conditions
date: 2022-06-13
pages: 9
extension: .pdf
mime: application/pdf
words: 2608
sentence: 204
flesch: 79
cache: cache/ma-94.pdf
txt: txt/ma-94.txt
summary:
  Hdp ≤ 1 − ( p 1 + p )p , R ≥ 1 + p 2 + p− (1 + p)p d and Ū(x0, r) ⊂ Ω. Then, limn−→∞xn = x∗ ∈ U(x0, r),F (x∗) = 0 and ‖x∗ −xn‖≤ ( 1 1 + p )n [(1 + p)H 1 p d](1+p) n H 1 p . U(x0, r0), F (x∗) = 0 and ‖x∗ −xn‖≤ ( λ 1 p 1 −λ )(1+p)n d µ 1 p , where λ = Hr p 0 1−H0r p 0 ( d r0 )p 1 1+p < 1 and r0 is the minimal positive root of scalar equation (2 + p)Ht1+p − (1 + p)(t −d)


id: ma-20
author: Adam, Adam; Gunawan, Hendra
title: On Geometric Constants for Discrete Morrey Spaces
date: 2021-12-06
pages: 10
extension: .pdf
mime: application/pdf
words: 2990
sentence: 225
flesch: 92
cache: cache/ma-20.pdf
txt: txt/ma-20.txt
summary:
  Note, in particular, that for p = q, we have `pq = `q.From [4] we already know that CNJ(`pq) ,2n−1 −1, we have (rj +1)1q−1p ≤ (j +1)1q−1p and (r +1)1p ≤ 2n−1p , so that (rj +1) 1 q −1 p(r +1) 1 p ≤ (j +1) 1 q −1 p2 n−1 p < 2 −n−1 p 2 n−1 p =1.


id: ma-60
author: Bishwal, Jaya P. N.
title: On the Stratonovich Estimator for the Itô Diffusion
date: 2022-01-31
pages: 13
extension: .pdf
mime: application/pdf
words: 3981
sentence: 284
flesch: 74
cache: cache/ma-60.pdf
txt: txt/ma-60.txt
summary:
  Anal. 10.28924/ada/ma.2.7 2 model was first studied by Dorogovcev (1976) who obtained weak consistency of the conditionalleast squares estimator (CLSE) under some regularity conditions as T →∞ and T n → 0. Kasonga(1988) obtained the strong consistency of the CLSE under some regularity conditions as n → ∞assuming that T = dn1/2 for some fixed real number d > 0.Note that the conditional least squares estimator (CLSE) of θ is defined as θn,T := arg min θ∈Θ Qn,T (θ) where Qn,T (θ) = n∑ i=1 [ Xti −Xti−1 − f (θ,Xti−1 )h ]2 ∆ti . Let ∼ l n,T (θ) := log ∼ Ln,T (θ) and v(θ,x) := f (θ,x) − f (θ0,x).


id: ma-171
author: Oriedo, I. S.; Lawi, G. O.; Bonyo, J. O.
date: 2023-06-27
pages: 12
extension: .pdf
mime: application/pdf
words: 4262
sentence: 269
flesch: 63
cache: cache/ma-171.pdf
txt: txt/ma-171.txt
title:
  Analysis of a Mathematical Model Incorporating Dual Protection and ART Adherence for a High Risk HIV Population

summary:
  Epidemiologically, this impliesthat if a sufficiently large number of HIV infected individuals are introduced in a population thatis fully susceptible to HIV infection, the disease will die out whenever R0 < 1. 3.1. − − R0 > 1 1 05


id: ma-10
author: Mendy, Sang B; Mendy, John T; Jobe, Alieu
title: The Generalized Viscosity Implicit Rules of Asymptotically Nonexpansive Mappings in Hilbert Spaces
date: 2021-09-03
pages: 15
extension: .pdf
mime: application/pdf
words: 4478
sentence: 342
flesch: 83
cache: cache/ma-10.pdf
txt: txt/ma-10.txt
summary:
  [γ2nsnk2n(sn + 1) + 2(βnα + αn) 2 ] ‖un −q‖2 + 2βn〈ψ(q) −q,un+1 −q〉 ‖un+1 −q‖2 ≤ γ2nsnk 2 n(sn + 1) + 2(βnα + αn) 2 − [ γ2n(1 − sn)2k2n(2 − sn) + 2(βnα + αn) ]‖un −q‖2 + 4βn 2 − [ γ2n(1 − sn)2k2n(2 − sn) + 2(βnα + αn) ]〈ψ(q) −q,un+1 −q〉 ‖un+1 −q‖2 ≤ ( 1 − 2 −γ2n(1 − sn)2k2n(2 − sn) −γ2nsnk2n(sn + 1) 2 − [ γ2n(1 − sn)2k2n(2 − sn) + 2(βnα + αn) ])‖un −q‖2 + 4βn 2 − [ γ2n(1 − sn)2k2n(2 − sn) + 2(βnα + αn) ]〈ψ(q) −q,un+1 −q〉 Eur. − sn)(un+1 −p) 1 −βn ‖ ≤ γnknsn 1 −βn ‖un −p‖ + γnkn(1 − sn) 1 −βn ‖un+1 −p‖ (3.4)


id: ma-51
author: Agwu, lmo; Igbokwe, Donatus Ikechi
date: 2022-03-04
pages: 13
extension: .pdf
mime: application/pdf
words: 4268
sentence: 404
flesch: 84
cache: cache/ma-51.pdf
txt: txt/ma-51.txt
title:
  Weak and Strong Convergence Theorems of Modified Projection-Type Ishikawa Iteration Scheme for Lipschitz α-Hemicontractive Mappings

summary:
  T is called k-strictly pseudocontraction (see, for example, [9]) if there exists k ∈ (0, 1] such that for all s,z ∈ K, the inequality ‖Ts −Tz‖2 ≤‖s −z‖2 + k‖(I −T )s − (I −T )z‖2 (1.2) hods. For an arbitrary x0 ∈ K, define the sequence {xn}∞n=0 iteratively as follows. xn+1


id: ma-86
author: Bishwal, Jaya P. N.
title: Quasi-likelihood Estimation in Fractional Levy SPDEs from Poisson Sampling
date: 2022-04-25
pages: 14
extension: .pdf
mime: application/pdf
words: 5154
sentence: 374
flesch: 67
cache: cache/ma-86.pdf
txt: txt/ma-86.txt
summary:
  Continuoustime long memory jump process is fractional Levy process. Hence fractional Levy process can alsobe called the Kolmogorov-Levy process.


id: ma-85
author: Regmi, Samundra; Argyros, Ioannis K.; George, Santhosh ; Argyros, Christopher
title: On the Semi-Local Convergence of a Third Order Scheme for Solving Nonlinear Equations
date: 2022-04-04
pages: 14
extension: .pdf
mime: application/pdf
words: 4535
sentence: 408
flesch: 87
cache: cache/ma-85.pdf
txt: txt/ma-85.txt
summary:
  − 2K(sn − tn) . 3M−1n F (xn), (1.1) for solving the nonlinear equation F (x) = 0, (1.2) where Mn = 2F ′(3xn+yn4 )− F ′(xn+yn2 )


id: ma-88
author: Zhou, Chuanjiang; Liu, Qi; Li, Yongjin
title: A New Approximate Birkhoff Orthogonality Type
date: 2022-05-09
pages: 14
extension: .pdf
mime: application/pdf
words: 5509
sentence: 404
flesch: 84
cache: cache/ma-88.pdf
txt: txt/ma-88.txt
summary:
  If we want x� ⊥B y, then the inequality ‖x + ty‖≥ (1 −�)‖x‖ should hold for all t ∈R, thus we have: ‖(1 + tz,t(1 −z))‖≥ 1 − � t ∈R. https://doi.org/10.28924/ada/ma.2.16 Eur. In order to satisfy x ⊥I� y or equivalently |‖x +y‖2−‖x−y‖2| ≤ 4�‖x‖‖y‖, the following inequality shuold hold: |‖(1 + c, 1)‖2 −‖(1 −c,−1)‖2|


id: ma-53
author: Argyros, Ioannis K.; George, Santhosh ; Argyros, Christopher I.
title: On the Ostrowski Method for Solving Equations
date: 2021-12-10
pages: 17
extension: .pdf
mime: application/pdf
words: 5134
sentence: 513
flesch: 85
cache: cache/ma-53.pdf
txt: txt/ma-53.txt
summary:
  [(1 −θ)‖x̄ −x0‖ + θ‖x∗ −x0‖]dθ ≤ L0 2 (s̄ + s∗) < 1, so x̄ = x∗ since M−1 exists and M(x∗ − x̄) = F (x∗) ≤ tn+1 − sn ≤ δ(sn − tn) ≤


id: ma-174
author: Wandera, K. A.; Bonyo, J. O.; Ambogo, D. O.
title: Strong Continuity of Composition Semigroups on the Generalized Bloch Spaces of the Upper Half Plane
date: 2023-08-24
pages: 17
extension: .pdf
mime: application/pdf
words: 5396
sentence: 401
flesch: 83
cache: cache/ma-174.pdf
txt: txt/ma-174.txt
summary:
  lim t→0+ ‖CXtf ∗ − f ∗‖Bα1(D) = limt→0+ ( sup z∈D ( 1 −|z|2 )α |(CXtf ∗ − f ∗)′(z)|) . − t − i i(1+z)


id: ma-172
author: Argyros, oannis K.; Regmi, Samundra; John, Jinny Ann ; Jayaraman, Jayakumar
title: Efficient Derivative-Free Class of Seventh Order Method for Non-differentiable Equations
date: 2023-06-05
pages: 12
extension: .pdf
mime: application/pdf
words: 4011
sentence: 348
flesch: 80
cache: cache/ma-172.pdf
txt: txt/ma-172.txt
summary:
  A non-differentiable non-linear system is solved using the method (2), where the divided difference is defined by the 2×2 matrix given for t̄ = (t1,t2) ∈R×R, t̃ = (t3,t4) ∈R×R and G = (G1,G2) by [t̄, t̃; G]i,1 = Gi(t3,t4) −Gi(t1,t4) t3 − t1 , t3 6= t1 and [t̄, t̃; G]i,2 = Gi(t1,t4) −Gi(t1,t2) t4 − t2 , t4 6= t2. Anal. 10.28924/ada/ma.3.19 11 Then, we set G = (G1,G2), where G1(t1,t2)


id: ma-24
author: Owuor Owino, Joseph ; Okelo, Benard
title: Lie Group Analysis of a Nonlinear Coupled System of Korteweg-de Vries Equations
date: 2021-10-01
pages: 18
extension: .pdf
mime: application/pdf
words: 5590
sentence: 401
flesch: 81
cache: cache/ma-24.pdf
txt: txt/ma-24.txt
summary:
  Denoting Di = ∂ ∂x i + uαi ∂ ∂uα + uαij ∂ ∂uα j + . . . (x i,uα,�), ϕi ∣∣∣ �=0 = x i, ūα = ψα(x i,uα,�), ψα ∣∣∣ �=0 = uα, (8) where the symbol ∣∣∣ �=0 means evaluated on � = 0.


id: ma-44
author: Beddani, Hamid; Beddani, Moustafa; Dahmani, Zoubir
date: 2021-11-08
pages: 18
extension: .pdf
mime: application/pdf
words: 5711
sentence: 418
flesch: 86
summary: For all υ > −1 and s,t ∈ [0,∞), (t ≥ s), we pose ϕυ(t,s) = (ϕ(t) −ϕ(s))υ. t ∈
cache: cache/ma-44.pdf
txt: txt/ma-44.txt
title:
  Nonlinear Differential Problem with p-Laplacian and via Phi-Hilfer Approach: Solvability and Stability Analysis


id: ma-9
author: Ravikumar, K.; Ramkumar, K.; Chalishajar, Dimplekumar
date: 2021-09-01
pages: 18
extension: .pdf
mime: application/pdf
words: 6099
sentence: 484
flesch: 84
cache: cache/ma-9.pdf
txt: txt/ma-9.txt
title:
  Existence and Stability Results for Second-Order Neutral Stochastic Differential Equations With Random Impulses and Poisson Jumps

summary:
  ds + ∫ t ξk C(t −s) + k∑ i=1 k∏ j=i bj(δj) × ∫ ξi ξi−1 C(t −s)h(s,xs)ds + ∫ t ξk C(t −s)h(s,xs)ds + k∑ i=1 k∏ j=i bj(δj) ∫ ξi ξi−1 S(t −s) ×


id: ma-115
author: Waphare, B. B.; Shaikh, R. Z.
title: Fractionalization of Hankel Type Integral Transforms and Their Relevance
date: 2022-10-03
pages: 18
extension: .pdf
mime: application/pdf
words: 6511
sentence: 397
flesch: 69
cache: cache/ma-115.pdf
txt: txt/ma-115.txt
summary:
  V. Namias, Fractionalization of Hankel transforms, IMA J. Appl. https://doi.org/10.1016/j.sigpro.2005.10.001.[15] A.L. Schwartz, An inversion theorem for Hankel transforms, Proc.


id: ma-119
author: Nyabonyi, J. Z.; Okelo, N. B.; Obogi, R. K.
title: On Norm Estimates for Derivations in Norm-Attainable Classes
date: 2023-01-16
pages: 15
extension: .pdf
mime: application/pdf
words: 7188
sentence: 591
flesch: 67
cache: cache/ma-119.pdf
txt: txt/ma-119.txt
summary:
  https://doi.org/10.1090/proc/12664.[53] Y.C. Kim, T. Sugawa, Norm estimates of the pre-Schwarzian derivatives for certain classes of univalent functions,Proc. G. Lumer, Complex methods and the estimation of operator norms and spectra from real numerical ranges, J. Funct.


id: ma-55
author: Pereira, Ducival C.; Araújo, Geraldo M. de; Raposo, Carlos A.
date: 2022-01-06
pages: 20
extension: .pdf
mime: application/pdf
words: 6852
sentence: 456
flesch: 84
cache: cache/ma-55.pdf
txt: txt/ma-55.txt
title:
  Unilateral Problem for a Viscoelastic Beam Equation Type p-Laplacian with Strong Damping and Logarithmic Source

summary:
  in Q, (5.38) u� ⇀ u in L∞(0,T ; H3Γ(Ω)), (5.39) u�t ⇀ ut in L2(0,T ; H10 (Ω) ∩H2(Ω)), (5.40) u�tt ⇀ utt in L2(0,T ; H−1(Ω)), (5.41) |u�|r−2u� ln |u�| ⇀ − (−∆u � p(t)),v〉pθ(t)dt ∣∣∣∣ = ∣∣∣∣∫ T 0 ∫ Ω ( |∇u�m(t)|p−2∇u�m(t) −|∇u�(t)|p−2∇u�(t) ) ∇v dx θ(t) dt ∣∣∣∣ ≤ C|θ|∞ ∫ T 0 ∫ Ω ( |∇u�m(t)|p−2 + |∇u�(t)|p−2 ) |∇u�m(t) −∇u�(t)||∇v|dx dt ≤ C1 ∫


id: ma-64
author: Hossan, Md. Shorif; Islam, Md. Shafiqul; Kamrujjaman, Md.
title: Efficient Numerical Schemes for Computations of European Options with Transaction Costs
date: 2022-02-17
pages: 20
extension: .pdf
mime: application/pdf
words: 6976
sentence: 453
flesch: 70
cache: cache/ma-64.pdf
txt: txt/ma-64.txt
summary:
  nonlinear Black-Scholes PDE; option pricing; volatility model; finite volume method; finitedifference method. J. Monique, Y. Marc, C. March, Mathematical methods for financial markets, Springer Science & Business Media,2009.[4] J. R. Buchanan, An undergraduate introduction to financial mathematics, 3rd ed., World Scientific Publishing Com-pany, 2012.[5] A. Yves, P. Olivier, Computational methods for option pricing, Society for Industrial and Applied Mathematics, 2005.[6]


id: ma-27
author: Ofem, Austine Efut; Udofia, Unwana Effiong; Igbokwe, Donatus Ikechi
date: 2021-10-01
pages: 27
extension: .pdf
mime: application/pdf
words: 8583
sentence: 637
flesch: 78
cache: cache/ma-27.pdf
txt: txt/ma-27.txt
title:
  New Iterative Algorithm for Solving Constrained Convex Minimization Problem and Split Feasibility Problem

summary:
  Math. 4(1956), 265–357.[8] C. Byrne, Iterative oblique projection onto convex sets and the split feasibility problem, Inverse Problems, 18(2)(2002), 441–453.[9] G. Cai, Y. Shehu, An iterative algorithm for fixed point problem and convex minimization problem with applications,Fixed Point Theory Appl. 2015 (2015) 7. https://doi.org/10.1186/s13663-014-0253-6.[10] −z‖ ≤ γ2(1 − (1 −γ)δs)‖ms −z‖ ≤ γ2(1 − (1 −γ)δs−1)‖ms−1 −z‖... ‖m1 −z‖ ≤ γ2(1 − (1 −γ)δ0)‖m0 −z‖. (3.12) Eur.


id: ma-25
author: Saidani, Mansouria; Belaidi, Benharrat
date: 2021-10-01
pages: 20
extension: .pdf
mime: application/pdf
words: 8380
sentence: 549
flesch: 85
cache: cache/ma-25.pdf
txt: txt/ma-25.txt
title:
  Some Properties on The [p,q]-Order of Meromorphic Solutions of Homogeneous and Non-homogeneous Linear Differential Equations With Meromorphic Coefficients

summary:
  ≤ s ≤ k − 1, such that |As (z) | ≥ expp (αrσ) as |z| = r ∈ H, r → +∞, and ρ = max { ρp ( Aj ) (j 6= s) } < σ, then every non-transcendental meromorphic solution f 6≡ 0 of (1.1) is a polynomial with deg f ≤ s − 1 and every transcendental meromorphic solution f of (1.1) with λp ( 1 f ) < µp (f ) satisfies i (f ) = p ≤ s ≤ k − 1, such that |As (z) | ≥ expp (αrσ) as |z| = r ∈ H, r → +∞, and max { ρp ( Aj ) (j 6= s), ρp (F ) } < σ, then every non-transcendental meromorphic solution f of (1.2) is a polynomial with deg f ≤ s−1 and every transcendental meromorphic solution f of (1.2) with λp ( 1 f ) < min{σ,µp(f )} satisfies i (f ) = p + 1 λp (f ) = λp(f )


id: ma-99
author: Bishwal, Jaya P. N.
title: Parameter Estimation for SPDEs Driven by Cylindrical Stable Processes
date: 2022-07-11
pages: 25
extension: .pdf
mime: application/pdf
words: 9138
sentence: 643
flesch: 73
cache: cache/ma-99.pdf
txt: txt/ma-99.txt
summary:
  When 1 < α < 2, Zj,t is stable process with Levy measure να(dz) = 1{z>0}dz αΓ(−α)zα+1 . E. Priola, J. Zabczyk, Structural properties of semilinear SPDEs driven by cylindrical stable processes, Probab.


id: ma-154
author: Regmi, Samundra; Argyros, Ioannis K.; George, Santhosh ; Argyros, Michael I.
date: 2023-03-13
pages: 9
extension: .pdf
mime: application/pdf
words: 2781
sentence: 197
flesch: 72
summary: ∈ Ω of the equation F (x) = 0, (1.1) Received: 26 Jan 2023. − tn (2.23) and 0 ≤ s∗ − sn ≤ t∗ − tn.
cache: cache/ma-154.pdf
txt: txt/ma-154.txt
title:
  Developments on the Convergence Analysis of Newton-Kantorovich Method for Solving Nonlinear Equations


id: ma-160
author: Akugre, Thomas Awinba; Nantomah, Kwara; Iddrisu, Mohammed Muniru
title: On Certain Properties of a Degenerate Sigmoid Function
date: 2023-05-01
pages: 10
extension: .pdf
mime: application/pdf
words: 3014
sentence: 256
flesch: 78
cache: cache/ma-160.pdf
txt: txt/ma-160.txt
summary:
  Sλ (t) > 0, (24) since r + t ≥ r and r + t ≥ t. For λ ∈ (0,∞) , the function Sλ (t) satisfies the inequalities S2λ (r + t) ≥


id: ma-156
author: Umudu, J. C.; Olaleru, J. O.; Olaoluwa, H.; Mogbademu, A. A.
title: Best Proximity Points for Generalized Geraghty Quasi-Contraction Type Mappings in Metric Spaces
date: 2023-04-05
pages: 11
extension: .pdf
mime: application/pdf
words: 3667
sentence: 288
flesch: 76
cache: cache/ma-156.pdf
txt: txt/ma-156.txt
summary:
  The notion of best proximity point was introduced in [14], the classof proximal quasi contraction mappings was introduced in [11] and thereafter, several known resultswere derived ( [10], [12], [13]). For additional information on best proximity point, see [7], [9], [10], [11], [12], [13],[14], [15], [17], [18], [20], [23]. Definition 1.1


id: ma-125
author: Nhari, Fakhr-dine; Rossafi, Mohamed
title: Woven K-g-Fusion Frames in Hilbert C∗-Modules
date: 2023-02-01
pages: 11
extension: .pdf
mime: application/pdf
words: 3762
sentence: 258
flesch: 80
cache: cache/ma-125.pdf
txt: txt/ma-125.txt
summary:
  In the other words, (i) 〈f , f 〉≥ 0 for all f ∈ H and 〈f , f 〉 = 0 if and only if f = 0.(ii) 〈af + g,h〉 = a〈f ,h〉 + 〈g,h〉 for all a ∈A and f ,g,h ∈ H.(iii) 〈f ,g〉 = 〈g,f 〉∗ for all f ,g ∈ H. For f ∈ H, we define ||f || Let f ∈ H and {UWij, ΛijPWijU∗,vij}j∈J,i∈[m] is a K − g−fusion woven for H with lowerbound C, we get C〈K∗f ,K∗f 〉≤ ∑ i∈[m] ∑ j∈J v2ij〈ΛijPWijU ∗PUWijf , ΛijPWijU ∗PUWijf 〉 = ∑ i∈[m] ∑ j∈J v2ij〈ΛijPWijU ∗f , ΛijPWijU ∗f 〉 ≤ B〈U∗f ,U∗f 〉.


id: ma-14
author: Salamooni, Ahmad Y. A.; Pawar, D. D.
title: Katugampola Fractional Calculus With Generalized k−Wright Function
date: 2021-09-07
pages: 11
extension: .pdf
mime: application/pdf
words: 3583
sentence: 276
flesch: 87
cache: cache/ma-14.pdf
txt: txt/ma-14.txt
summary:
  [γ − α−1 ρ ]) . uniqueness results for a class of generalized fractional differential equations,arXiv:1411.5229v2[math.


id: ma-168
author: Adeyemo, K. M.
date: 2023-08-07
pages: 11
extension: .pdf
mime: application/pdf
words: 3752
sentence: 326
flesch: 77
cache: cache/ma-168.pdf
txt: txt/ma-168.txt
title:
  Local Stability Analysis of Onchocerciasis Transmission Dynamics With Nonlinear Incidence Functions in Two Interacting Populations

summary:
  Consequently we obtain E0as E0 = ( Ψh(xi ) µh(xi ) , 0, 0, 0, Ψv µv , 0, 0 ) (3.1) A key notion in the analysis of infectious disease models is the basic reproduction number R0 , anepidemiological threshold that determines whether disease dies out or persists in the population. + µh(xi ))


id: ma-11
author: Sahir, Muhammad Jibril Shahab
title: Coordination of Classical and Dynamic Inequalities Complying on Time Scales
date: 2023-02-03
pages: 11
extension: .pdf
mime: application/pdf
words: 4133
sentence: 406
flesch: 85
cache: cache/ma-11.pdf
txt: txt/ma-11.txt
summary:
  There have been recent achievements of the theory and applications of dynamic inequalities ontime scales. We explore dynamic inequalities on delta calcu-lus and their symmetric nabla versions.


id: ma-167
author: Mendy, Furmose; Mendy, John T
title: A Modified Algorithms for New Krasnoselskii's Type for Strongly Monotone and Lipschitz Mappings
date: 2023-06-05
pages: 11
extension: .pdf
mime: application/pdf
words: 4309
sentence: 357
flesch: 76
cache: cache/ma-167.pdf
txt: txt/ma-167.txt
summary:
  Ju = ‖u‖2−p Wm,p ∑ |α≤m| (−1)|α|Dα(|Dαu|p−2Dαu) ∈ W−m,p In Lp,`p and Wm,p spaces for 1 < p < ∞ are q−uniformly smooth real Banach spaces with q, as q = min{2,p} and dq ≥ 1 (2.2) is given by dq = { 1+τq−1 (1+τ)q−1 , if 1 < p < 2; p− 1, if 2 ≤ p < ∞. (2.3)and τ(0, 1) as the unique solution of the equation (q − 2)tq−1 + (q − 1)tq−2 − 1 = 0 ∈ E, wedefine the sequences {xn} and {yn} by{ yn = xn −θnJ−1(Axn), n ≥ 1 xn+1 = yn −λnJ−1(Ayn), n ≥ 1where λn and θn are positive real number and J is the duality mapping of E. Letting (λn,θn) ∈ (0, 1), then xn and yn converges strongly to ρ∗, a unique solution of the equation Ax = 0.


id: ma-166
author: Ahmad, Mukhtar; Hussain, Saddam; Parveen, Ulfat; Zahid, Iqra; Sultan, Muhammad; Qayyum, Ather
title: On Degree-Based Topological Indices of Petersen Subdivision Graph
date: 2023-06-05
pages: 18
extension: .pdf
mime: application/pdf
words: 4625
sentence: 384
flesch: 78
cache: cache/ma-166.pdf
txt: txt/ma-166.txt
summary:
  index topological index of the general form, ⇒ SDD(G) = ∑[x1,x2∈E(G)] Now putting the values in generalconnectivity index topological index of the general form, ⇒ M1(G) = ∑[x2∈V (G)]


id: ma-142
author: Bishwal, Jaya P. N.
date: 2023-03-03
pages: 17
extension: .pdf
mime: application/pdf
words: 5463
sentence: 438
flesch: 88
summary: ≤ t ≤ T} be denoted by XT0 . H ≤ 11 16 for the QLSE.
cache: cache/ma-142.pdf
txt: txt/ma-142.txt
title:
  On the Kolmogorov Distance for the Least Squares Estimator in the Fractional Ornstein-Uhlenbeck Process


id: ma-140
author: Owino, Joseph Owuor
title: Group Analysis of Equal-Width Equation
date: 2023-02-09
pages: 20
extension: .pdf
mime: application/pdf
words: 5960
sentence: 464
flesch: 84
cache: cache/ma-140.pdf
txt: txt/ma-140.txt
summary:
  The one parameter groups dictate to the following generated solutions: T�1 : u =g(t,x + �1) T�2 : u =g(te −�2,x)e−�2, T�3 : u =g(te −�3 u ,x) − �3, T�4 : u =g(t + �4,x). Anal. 10.28924/ada/ma.3.13 14 Hence the group invariant solution to Equation to (1.1) will be given by u(t,x) = f (x) t , (3.55) where f satisfies Equation (3.54).(iii) X3 = ∂∂u − tu ∂∂tThe Lagrangian system associated with the operator X3 is dt − t u = dx 0 = du 1 , (3.56) whose invariants are J1 = x and J2 = tu.


id: ma-50
author: Agwu, Imo Kalu; Igbokwe, Donatus Ikechi
title: Convergence and Stability of New Approximation Algorithms for Certain Contractive-Type Mappings
date: 2021-11-29
pages: 38
extension: .pdf
mime: application/pdf
words: 13269
sentence: 619
flesch: 90
cache: cache/ma-50.pdf
txt: txt/ma-50.txt
summary:
   `3∑ j=2 α2n,j(ρ j)2 j−1∏ i=1 (1 −α2n,i)  ×  `4∑ j=2 α3n,j(ρ j)2 j−1∏ i=1 (1 −α3n,i) ‖y4n −q‖2 + ( `2∑ j=2 α1n,j(ρ j)2 j−1∏ i=1 (1 −α1n,i) ) ×  `3∑ j=2 α2n,j(ρ j)2 j−1∏ i=1 (1 −α2n,i) −q‖2 + (ρj)2 ( `2∏ i=1 (1 −α1n,i)(ρ j)2 ) ×(ρj)2 ( `3∏ i=1 (1 −α2n,i)(ρ j)2 ) (ρj)2 ( `4∏ i=1 (1 −α3n,i)(ρ j)2 )


id: ma-134
author: Zhang, Dongwen; Rassias, John Michael; Liu, Qi; Li, Yongjin
title: A Note on the Stability of Functional Equations via a Celebrated Direct Method
date: 2022-11-10
pages: 19
extension: .pdf
mime: application/pdf
words: 6903
sentence: 505
flesch: 81
cache: cache/ma-134.pdf
txt: txt/ma-134.txt
summary:
  −vf (−e(x))‖6 δ(x), x ∈ X, (2.1) where u, v ∈ (−∞, +∞), and the mappings e : X → X, δ : X → [0,∞) satisfy that e is even ( i.e., e(−x) = e(x) for every x ∈ X). We will prove that ‖f (x) −unf (en(x)) −vnf (−en(x))‖6 γn(x), x ∈ X, (2.3) where γn(x) := n−1∑ i=0 [ |ui|δ ( ei (x) ) + |vi|δ ( −ei (x) )] , x ∈ X,n ∈N. First of all, consider with every m,n ∈N and it is easy to observe that un+1 = uun + uvn, vn+1 = vvn + vun, and un+m = umun + vmun, vn+m = umvn + vmvn.


id: ma-12
author: Agwu, Imo Kalu; Igbokwe, Donatus Ikechi; Ukeje, Nathenial C.
date: 2021-09-08
pages: 23
extension: .pdf
mime: application/pdf
words: 7656
sentence: 653
flesch: 89
cache: cache/ma-12.pdf
txt: txt/ma-12.txt
title:
  Convergence of a Three-step Iteration Scheme to the Common Fixed Points of Mixed-Type Total Asymtotically Nonexpansive Mappings in Uniformly Convex Banach Spaces

summary:
  lim sup[(1 + hnM)‖xn −q‖ + θn] = c. (3.25)Furthermore, ‖T2(PT2)zn −q‖ ≤ + θn = (1 + hnM)[(1 −βn + βn + βnhnM))‖xn −q‖ + θn)]


id: ma-136
author: Belaïdi, Benharrat; Belmiloud, Meriem
date: 2023-01-16
pages: 27
extension: .pdf
mime: application/pdf
words: 9927
sentence: 658
flesch: 88
cache: cache/ma-136.pdf
txt: txt/ma-136.txt
title:
  Complex Oscillation of Solutions and Their Arbitrary-Order Derivatives of Linear Differential Equations With Analytic Coefficients of [p, q]-Order in the Unit Disc

summary:
  Then every solution f 6≡ 0 of equation (1.1) satisfies λ̄n ( f (j) −z ) = λ̄n (f −z) Then every solution f 6≡ 0 of equation (1.1) satisfies λ̄[p,q] ( f (j) −z ) = λ[p,q] (f −z)


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