Coincidence best proximity points in convex metric spaces

M Gabeleh, OO Otafudu, N Shahzad - Filomat, 2018 - doiserbia.nb.rs
Let T, S: AUB→ AUB be mappings such that T (A) B, T (B) A and S (A) A, S (B) B. Then
the pair (T, S) of mappings defined on A [B is called cyclic-noncyclic pair, where A and B are …

A discussion on the coincidence quasi-best proximity points

F Fouladi, A Abkar, E Karapınar - 2021 - earsiv.cankaya.edu.tr
In this paper, we first introduce a new class of the pointwise cyclic-noncyclic proximal
contraction pairs. Then we consider the coincidence quasi-best proximity point problem for …

Coincidence quasi-best proximity points for quasi-cyclic-noncyclic mappings in convex metric spaces

A Abkar, M Norouzian - Iranian Journal of Mathematical Sciences and …, 2022 - ijmsi.ir
We introduce the notion of quasi-cyclic-noncyclic pair and its relevant new notion of
coincidence quasi-best proximity points in a convex metric space. In this way we generalize …

Tripartite coincidence-best proximity points and convexity in generalized metric spaces

M Norouzian, A Abkar - Bulletin of the Brazilian Mathematical Society, New …, 2019 - Springer
We consider a triple (K; S; T) consisting of three nonlinear mappings defined on the union A
∪ B ∪ CA∪ B∪ C of closed subsets of a generalized metric space. After introducing a …

Noncyclic Meir-Keeler contractions and best proximity pair theorems

M Gabeleh, J Markin - Demonstratio Mathematica, 2018 - degruyter.com
In this article, we consider the class of noncyclic Meir-Keeler contractions and study the
existence and convergence of best proximity pairs for such mappings in the setting of …

Weak proximal normal structure and coincidence quasi-best proximity points

F Fouladi, A Abkar, E Karapınar - 2020 - earsiv.cankaya.edu.tr
We introduce the notion of pointwise cyclic-noncyclic relatively non-expansive pairs
involving orbits. We study the best proximity point problem for this class of mappings. We …

Tripartite coincidence-best proximity points in generalized metric spaces

M Norouzian, A Abkar - arXiv preprint arXiv:1904.10309, 2019 - arxiv.org
We first introduce a notion of convex structure in generalized metric spaces, then we
introduce tripartite contractions, tripartite semi-contractions, tripartite coincidence points, as …

Coincidence-best proximity points for -contraction pairs in convex metric spaces

A Abkar, M Norouzian - Journal of Mathematical Extension, 2019 - ijmex.com
We generalise the notion of cyclic-noncyclic pairs by introducing the concept of $ m $-
contraction pairs in convex metric spaces. We shall then investigate the exixtence and …