IJPAM: Volume 5, No. 2 (2003)

A GENERALIZATION OF PELEG'S THEOREM
WITH APPLICATIONS TO A SYSTEM OF
VARIATIONAL INEQUALITIES

Yen-Cherng Lin$^{1}$, Jen-Chih Yao$^{2}$
$^1$General Education Center
China Medical University
91, Hsueh - Shih Rodd
Taichung 404, ROC, TAIWAN
e-mail:yclin@mail.cmc.edu.tw
$^2$Department of Applied Mathematics
National Sun Yat-Sen University
Kaohsiung 804, ROC, TAIWAN
e-mail:yaojc@math.nsysu.edu.tw


Abstract.The main object of this paper is to introduce the general Peleg KKM Theorem on pseudo H-spaces. As applications, we derive some new results for fixed point theorems and the system of variational inequalities.

Received: February 19, 2003

AMS Subject Classification: 90C33

Key Words and Phrases: pseudo H-spaces, $q$-convex set, KKM theorem, Peleg Theorem, lower inverse, fixed point theorem, variational inequalities

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2003
Volume: 5
Issue: 2