id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-6525	Malkawi, Abed Al-Rahman; Rabaiah, Ayat	MR-Metric Spaces: Theory and Applications in Weighted Graphs, Expander Graphs, and Fixed-Point Theorems	2025	14	.pdf	application/pdf	4035	259	70	The set-valued fixed point theory developed in Theorem 2.2, extending classical results [24] (iii) Applications in expander graph analysis through coupling time metrics (Theorem 2.3) This paper makes three principal contributions: • A constructive method for generating MR-metrics on weighted graphs via minimal spanning subtrees, with applications in network optimization (Section 3.1) • A fixed-point theory for set-valued contractions in MR-metric spaces, generalizing results from [25] • New bounds on coupling times in expander graphs using MR-metric analysis, im- proving upon previous work This paper introduces the concept of MR-metric spaces, a generalization of traditional metric spaces that operates on triples of points rather than pairs.	cache/ejpam-6525.pdf	txt/ejpam-6525.txt