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Variational inequalities with operator solutions

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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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Domokos, A., Kolumbán, J. Variational inequalities with operator solutions. Journal of Global Optimization 23, 99–110 (2002). https://doi.org/10.1023/A:1014096127736

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