Best Proximity Point Theorems for Cyclic Relatively ρ-Nonexpansive Mappings in Modular Spaces-Reference-Cited by-同舟云学术

Best Proximity Point Theorems for Cyclic Relatively ρ-Nonexpansive Mappings in Modular Spaces

Published:2018-10-02 Issue: Volume:2018 Page:1-8
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Chaira Karim¹,Lazaiz Samih²^ORCID

Affiliation:

1. Laboratory of Algebra Analysis and Applications, Department of Mathematics and Computer Sciences, Faculty of sciences Ben M’Sik, Hassan II University of Casablanca, BP 7955, Sidi Othman, Casablanca, Morocco

2. Department of Mathematics, Faculty of Sciences, Dhar El Mahraz University, Sidi Mohamed Ben Abdellah, Fes, Morocco

Abstract

In this paper we introduce the notion of proximal ρ-normal structure of pair of ρ-admissible sets in modular spaces. We prove some results of best proximity points in this setting without recourse to Zorn’s lemma. We provide some examples to support our conclusions.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2018/8084712.pdf

Reference21 articles.

1. Extensions of two fixed point theorems of F. E. Browder

2. Fixed-point theorems for set-valued mappings and existence of best approximants

3. Approximate selections, best approximations, fixed points, and invariant sets

4. A Generalization to Multifunctions of Fan's Best Approximation Theorem

5. A theorem on best approximations

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On best proximity point theorems for relatively nonexpansive mappings in locally convex spaces;Moroccan Journal of Pure and Applied Analysis;2023-09-01

2. Best Proximity Point Theorems for Cyclic Contractions Mappings in Banach Algebras;Journal of Function Spaces;2020-11-05

3. On Best Proximity Point Theorems in Locally Convex Spaces Endowed with a Graph;International Journal of Mathematics and Mathematical Sciences;2020-08-01

4. Best Proximity Points for Monotone Relatively Nonexpansive Mappings in Ordered Banach Spaces;Axioms;2019-11-01