Existence of generalized variational inequalities

Authors:
Jen-Chih Yao
Affiliations:
Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, 80424, Taiwan, ROC
Venue:
Operations Research Letters
Year:
1994

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Abstract

In this paper we investigate certain generalized variational inequalities in Hilbert spaces which contain general mildly nonlinear variational inequalities and the classical variational inequalities as special cases. We employ the fixed point technique used by Glowinski, Lions and Stampacchia to obtain some existence results for these nonlinear inequalities. In particular, we obtain some existence results for both general mildly nonlinear variational inequalities and implicit complementarity problems.