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System of generalised set-valued quasi-variational-like inequalities

Published online by Cambridge University Press:  17 April 2009

Jianwen Peng
Jianwen Peng
Affiliation:
Department of Mathematics, Chongqing Normal University, Chongqing 400047, People's Republic of China Department of Mathematics, Inner Mongolia University, Hohhot 010021, Inner Mongolia, People's Republic of China, e-mail: [email protected].
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Abstract

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In this paper, we shall introduce a system of generalised set-valued quasi-variational-like inequalities, which generalises and unifies systems of generalised vector variational inequalities, systems of variational inequalities, generalised vector quasi-variational-like inequalities as well as various extensions of the classic variational inequalities in the literature. Some existence results for a solution of a system of generalized set-valued quasi-variational-like inequalities without any monotonity are obtained.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 68 , Issue 3 , December 2003 , pp. 501 - 515
Copyright
Copyright © Australian Mathematical Society 2003

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