Fixed Point Theory and Applications
Volume 2006 (2006), Article ID 91397, 7 pages
doi:10.1155/FPTA/2006/91397

On almost coincidence points in generalized convex spaces

Zoran D. Mitrović

Faculty of Electrical Engineering, University of Banja Luka, Patre 5, Banja Luka 78000, Bosnia and Herzegovina

Received 19 April 2006; Accepted 7 June 2006

Copyright © 2006 Zoran D. Mitrović. 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 prove an almost coincidence point theorem in generalized convex spaces. As an application, we derive a result on the existence of a maximal element and an almost coincidence point theorem in hyperconvex spaces. The results of this paper generalize some known results in the literature.