0_xxx_GeetaErratum.dvi


EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS

Vol. 4, No. 3, 2011, 209-209

ISSN 1307-5543 – www.ejpam.com

Erratum to “Optimality and Duality for Second-order

Multiobjective Variational Problems” [1]

T. R. Gulati and Geeta Mehndiratta∗

Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247 667, India

In the proof of Theorem 3 on page 794 [1], the system

gx(t, x̄ , ˙̄x) ȳ(t)− D(g ẋ(t, x̄ , ˙̄x) ȳ(t)) = 0, t ∈ I ,

ȳ(t)T g(t, x̄ , ˙̄x) = 0, t ∈ I ,

(λ̄1, λ̄2, . . . , λ̄k, ȳ(t)) ≥ 0, t ∈ I ,

has been printed instead of

λ̄
1( f 1

x (t, x̄ , ˙̄x)− D f 1
ẋ (t, x̄ , ˙̄x)) +

k∑

i=2

λ̄
i( f i

x (t, x̄ , ˙̄x)− D f i
ẋ (t, x̄ , ˙̄x))

+gx(t, x̄ , ˙̄x) ȳ(t)− D(g ẋ(t, x̄ , ˙̄x) ȳ(t)) = 0, t ∈ I ,

ȳ(t)T g(t, x̄ , ˙̄x) = 0, t ∈ I ,

(λ̄1, λ̄2, . . . , λ̄k, ȳ(t)) ≥ 0, t ∈ I ,

References

[1] T Gulati and G Mehndiratta. Optimality and Duality for Second-order Multiobjective

Variational Problems. European Journal of Pure and Applied Mathematics, 3(5): 786-805.

2010.

∗Corresponding author.

Email addresses: trgulati�gmail.
om (T. Gulati), geeta.mehndiratta�rediffmail.
om (G.

Mehndiratta)

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