Fixed Point Theorems for Contractive Selfmappings of a Bounded Metric Space-Reference-Cited by-同舟云学术

Fixed Point Theorems for Contractive Selfmappings of a Bounded Metric Space

Published:2019-11-14 Issue: Volume:2019 Page:1-3
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Touail Youssef¹^ORCID,El Moutawakil Driss¹^ORCID,Bennani Samia²

Affiliation:

1. Equipe de Recherche en Mathématiques Appliquées, Technologies de l’Information et de la Communication, Polydisciplinary Faculty of Khouribga, BP. 145, University Sultan Moulay Slimane, Morocco

2. Laboratory of Analysis, Algebra and Applications, Faculty of Sciences Ben M’sik BP. 7955, Sidi Othmane, Universite Hassan II Casablanca, Casablanca, Morocco

Abstract

The main purpose of this paper is to prove a new fixed theorem for selfmapping of a metric space (X,d). As applications, we get a new fixed point result for shrinking or contractive maps and a fixed point theorem for a new class of weakly contractive selfmappings of a bounded metric space (X,d), where the auxiliary function ϕ satisfies ϕ(0)=0 and inft>0ϕ(t)>0.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2019/4175807.pdf

Reference9 articles.

1. On Fixed and Periodic Points Under Contractive Mappings

2. Principle of Weakly Contractive Maps in Hilbert Spaces

3. Some theorems on weakly contractive maps

4. Common fixed point for generalized (ψ,φ)-weak contractions

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