Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2006; 43(3): 599-610

Printed September 1, 2006

Copyright © The Korean Mathematical Society.

A strong solution for the weak type II generalized vector quasi-equilibrium problems

Won Kyu Kim and Sangho Kum

Chungbuk National University, Chungbuk National University

Abstract

The aim of this paper is to give an existence theorem for a strong solution of generalized vector quasi-equilibrium problems of the weak type II due to Hou et al. using the equilibrium existence theorem for 1-person game, and as an application, we shall give a generalized quasivariational inequality.

Keywords: generalized vector quasi-equilibrium problems, strong solution, monotone, $C(x)$-quasiconvex-like multifunction

MSC numbers: 47N10, 90C29