Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 814970, 10 pages
doi:10.1155/2010/814970
Research Article

Fixed Point Theorem of Half-Continuous Mappings on Topological Vector Spaces

Imchit Termwuttipong and Thanatkrit Kaewtem

Department of Mathematics, Faculty of Science, Chulalongkorn University, Bangkok 10330, Thailand

Received 11 December 2009; Accepted 10 January 2010

Academic Editor: Anthony To Ming Lau

Copyright © 2010 Imchit Termwuttipong and Thanatkrit Kaewtem. 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

Some fixed point theorems of half-continuous mappings which are possibly discontinuous defined on topological vector spaces are presented. The results generalize the work of Philippe Bich (2006) and several well-known results.