Abstract and Applied Analysis
Volume 2012 (2012), Article ID 503504, 14 pages
http://dx.doi.org/10.1155/2012/503504
Research Article

Fixed-Point Theorems for Multivalued Mappings in Modular Metric Spaces

Parin Chaipunya, Chirasak Mongkolkeha, Wutiphol Sintunavarat, and Poom Kumam

Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok 10140, Thailand

Received 7 December 2011; Accepted 20 January 2012

Academic Editor: Josef Diblík

Copyright © 2012 Parin Chaipunya et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.