Summary: PERGAMON Applied Mathematics Letters 12 (1999) 5356
An Existence Result for the Generalized
Vector Equilibrium Problem
Q. H. Ansari
Department of Mathematics
Aligarh Muslim University
Aligarh - 202 002, India
Department of Applied Mathematics
National Sun Yat-sen University
Kaohsiung, Taiwan, R.O.C.
(Received May 1998; revised and accepted April 1999)
Abstract--In this paper, we prove an existence result for the generalized vector equilibrium
problem by using Fan-Browder type fixed-point theorem due to . c 1999 Elsevier Science Ltd.
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Keywords--Generalized vector equilibrium problems, Fixed points, Cx-quasiconvex-like multi-
1. INTRODUCTION AND PRELIMINARIES
Let X and Y be two topological vector spaces. Let K be a nonempty convex subset of X and