AN EXTENSION OF GENERALIZED VECTOR QUASI-VARIATIONAL INEQUALITY

- Journal title : Communications of the Korean Mathematical Society
- Volume 21, Issue 2, 2006, pp.273-285
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/CKMS.2006.21.2.273

Title & Authors

AN EXTENSION OF GENERALIZED VECTOR QUASI-VARIATIONAL INEQUALITY

Kum Sang-Ho; Kim Won-Kyu;

Kum Sang-Ho; Kim Won-Kyu;

Abstract

In this paper, we shall give an affirmative answer to the question raised by Kim and Tan [1] dealing with generalized vector quasi-variational inequalities which generalize many existence results on (VVI) and (GVQVI) in the literature. Using the maximal element theorem, we derive two theorems on the existence of weak solutions of (GVQVI), one theorem on the existence of strong solution of (GVQVI), and one theorem on strong solution in the 1-dimensional case.

Keywords

generalized vector quasi-variational inequality;equilibrium;

Language

English

References

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