Multivariate best proximity point theorems in metric spaces

DOI10.22436/JNSA.009.11.04OpenAlexW2791842468MaRDI QIDQ4595815

Yinglin Luo, Yongfu Su, Wen-Biao Gao

Publication date: 6 December 2017

Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: http://www.isr-publications.com/jnsa/articles-2897-multivariate-best-proximity-point-theorems-in-metric-spaces

zbMATH Keywords

contraction mapping principlecomplete metric spacesmultiply metric functionmultivariate fixed pointmultivariate mappingbest proximity point theorem

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (4)

A kind of system of multivariate variational inequalities and the existence theorem of solutions ⋮ Multivariate systems of nonexpansive operator equations and iterative algorithms for solving them in uniformly convex and uniformly smooth Banach spaces with applications ⋮ \(N\) fixed point theorems and \(N\) best proximity point theorems for generalized contraction in partially ordered metric spaces ⋮ System of multivariate pseudo-contractive operator equations and the existence of solutions

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