Table of Contents Author Guidelines Submit a Manuscript
Abstract and Applied Analysis
Volume 2014, Article ID 635903, 7 pages
Research Article

New Existence Results for Fixed Point Problem and Minimization Problem in Compact Metric Spaces

1Department of Applied Mathematics, Chinese Culture University, Taipei 11114, Taiwan
2Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, Taiwan
3Department of Mathematics, National Taiwan Normal University, Taipei 11677, Taiwan

Received 24 April 2014; Accepted 4 June 2014; Published 16 June 2014

Academic Editor: Erdal Karapınar

Copyright © 2014 Weng-Seng Heng 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.


We first present some new existence theorems for fixed point problem and minimization problem in compact metric spaces without assuming that mappings possess convexity property. Some applications of our results to new fixed point theorems for nonself mappings in the setting of strictly convex normed linear spaces and usual metric spaces are also given.