Variational inequalities with operator solutions |
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Authors: | A Domokos J Kolumbán |
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Institution: | (1) Department of Mathematics, Babes-Bolyai University, Str. M. Kogalniceanu 1, 3400 Cluj-Napoca, Romania |
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Abstract: | The aim of the present paper is to give a new kind of point of view in the theory of variational inequalities. Our approach makes possible the study of both scalar and vector variational inequalities under a great variety of assumptions. One can include here the variational inequalities defined on reflexive or nonreflexive Banach spaces, as well as the vector variational inequalities defined on topological vector spaces. |
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Keywords: | variational inequalities pseudomonotonicity KKM-mapping |
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