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Generalized variational inequalities
Authors:S. C. Fang  E. L. Peterson
Affiliation:(1) Western Electric Company, Engineering Research Center, Princeton, New Jersey;(2) Department of Mathematics and Graduate Program of Operations Research, North Carolina State University, Raleigh, North Carolina
Abstract:This paper introduces and analyzes generalized variational inequalities. The most general existence theory is established, traditional coercivity conditions are extended, properties of solution sets under various monotonicity conditions are investigated, and a computational scheme is considered. Similar results can be obtained for generalized complementarity and fixed-point problems.The authors are indebted to Professor R. Saigal of Northwestern University for his continuous encouragement and helpful discussions concerning this paper.
Keywords:Variational inequalities  fixed points  complementarity problems  monotonicity conditions  coercivity conditions  mathematical programming
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