Fixed-Point Theorems for Multivalued Mappings in Modular Metric Spaces

Parin Chaipunya; Chirasak Mongkolkeha; Wutiphol Sintunavarat; Poom Kumam

doi:10.1155/2012/503504

Abstract and Applied Analysis (Jan 2012)

Fixed-Point Theorems for Multivalued Mappings in Modular Metric Spaces

Parin Chaipunya,
Chirasak Mongkolkeha,
Wutiphol Sintunavarat,
Poom Kumam

Affiliations

Parin Chaipunya: Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok 10140, Thailand
Chirasak Mongkolkeha: Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok 10140, Thailand
Wutiphol Sintunavarat: Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok 10140, Thailand
Poom Kumam: Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok 10140, Thailand

DOI: https://doi.org/10.1155/2012/503504
Journal volume & issue: Vol. 2012

Abstract

Read online

We give some initial properties of a subset of modular metric spaces and introduce some fixed-point theorems for multivalued mappings under the setting of contraction type. An appropriate example is as well provided. The stability of fixed points in our main theorems is also studied.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

About the journal