Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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AN EXTENSION OF GENERALIZED VECTOR QUASI-VARIATIONAL INEQUALITY

  • Kum Sang-Ho (Department of Mathematics Education Chungbuk National University) ;
  • Kim Won-Kyu (Department of Mathematics Education Chungbuk National University)
  • Published : 2006.04.01
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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.

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References

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