On cyclic relatively nonexpansive mappings in generalized semimetric spaces

Moosa Gabeleh


In this article, we prove a fixed point theorem for cyclic relatively nonexpansive mappings in the setting of generalized semimetric spaces by using a geometric notion of seminormal structure and then we conclude some results in uniformly convex Banach spaces. We also discuss on the stability of seminormal structure in generalized semimetric spaces.


Cyclic relatively nonexpansive mapping; seminormal structure; generalized semimetric space

Subject classification

47H10; 46B20

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1. Best Proximity Point Theorems for Cyclic Relatively ρ-Nonexpansive Mappings in Modular Spaces
Karim Chaira, Samih Lazaiz
Abstract and Applied Analysis  vol: 2018  first page: 1  year: 2018  
doi: 10.1155/2018/8084712

Esta revista se publica bajo una licencia de Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional.

Universitat Politècnica de València

e-ISSN: 1989-4147   https://doi.org/10.4995/agt