Fixed Points for Multivalued Mappings inb-Metric Spaces-Reference-Cited by-同舟云学术

Fixed Points for Multivalued Mappings inb-Metric Spaces

Published:2015 Issue: Volume:2015 Page:1-7
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Jleli Mohamed¹,Samet Bessem¹^ORCID,Vetro Calogero²,Vetro Francesca³^ORCID

Affiliation:

1. Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

2. Dipartimento di Matematica e Informatica, Università degli Studi di Palermo, Via Archirafi 34, 90123 Palermo, Italy

3. Dipartimento Energia, Ingegneria dell’Informazione e Modelli Matematici (DEIM), Università degli Studi di Palermo, Viale delle Scienze, 90128 Palermo, Italy

Abstract

In 2012, Samet et al. introduced the notion ofα-ψ-contractive mapping and gave sufficient conditions for the existence of fixed points for this class of mappings. The purpose of our paper is to study the existence of fixed points for multivalued mappings, under anα-ψ-contractive condition of Ćirić type, in the setting of completeb-metric spaces. An application to integral equation is given.

Funder

International Research Group

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2015/718074.pdf

Reference21 articles.

1. Multi-valued contraction mappings

2. A Suzuki type fixed point theorem for a generalized multivalued mapping on partial Hausdorff metric spaces

3. Some Endpoint Results forβ-Generalized Weak Contractive Multifunctions