On best proximity point theorems for relatively nonexpansive mappings in locally convex spaces-Reference-Cited by-同舟云学术

On best proximity point theorems for relatively nonexpansive mappings in locally convex spaces

Published:2023-09-01 Issue:3 Volume:9 Page:339-353
ISSN:2351-8227
Container-title:Moroccan Journal of Pure and Applied Analysis
language:en
Short-container-title:

Author:

Saadaoui Brahim¹,Harmouchi Nour-Eddine El¹,Mouline Jamal¹,Lazaiz Samih²

Affiliation:

1. Hassan II University of Casablanca, Faculty of Sciences Ben M’Sik , Laboratory of Analyse Modelisation and Simulation , Casablanca , Morocco

2. ENSAM Casablanca , Hassan II University , Casablanca , Morocco .

Abstract

Abstract This paper explores the concept of normal structure by introducing a generalized form known as P-proximal normal structure. Focusing on the framework of Hausdorff locally convex spaces, the study establishes optimal proximity outcomes for both cyclic and noncyclic relatively P-nonexpansive mappings. Furthermore, the paper presents in the realm of probabilistic normed spaces, considered as instances of Hausdorff locally convex spaces, some theorems that address the existence of best proximity points within this context.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/mjpaa-2023-0023

Reference17 articles.

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