논문KCI 등재
An extension of generalized vector quasi-variational inequality
대한수학회 (The Korean Mathematical Society)|2006.04|대한수학회논문집 (Communications of the KMS)|제21권 제2호|pp. 273-285
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Abstract
In this paper, we shall give an affirmative answer tothe question raised by Kim and Tan [1] dealing with generalizedvector quasi-variational inequalities which generalize manyexistence results on (VVI) and (GVQVI) in the literature. Usingthe maximal element theorem, we derive two theorems on theexistence of weak solutions of (GVQVI), one theorem on theexistence of strong solution of (GVQVI), and one theorem on strongsolution in the 1-dimensional case.
참고문헌 (6)
- "Topological Vector Spaces" (1987)
- "Existence of solutions to implicit vector variational inequalities" (2003)
- "Equilibria of non-compact generalized games with L-majorized preferences" (1992)
- "Equilibria of generalized games with L-majorized multifunctions" (1994)
- "On the existence of solutions to vector quasi-variational inequalities and quasi-complementarity problems with applications to traffic network equilibria" (2004)
- "On generalized vector quasi-variational inequalities \jour Optimization" (1999)
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