Well-Posedness Results of Certain Variational Inequalities

Savin Treanţă ()
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Savin Treanţă: Department of Applied Mathematics, University Politehnica of Bucharest, 060042 Bucharest, Romania

Mathematics, 2022, vol. 10, issue 20, 1-15

Abstract: Well-posedness and generalized well-posedness results are examined for a class of commanded variational inequality problems. In this regard, by using the concepts of hemicontinuity, monotonicity, and pseudomonotonicity of the considered functional, and by introducing the set of approximating solutions of the considered commanded variational inequality problems, we establish several well-posedness and generalized well-posedness results. Moreover, some illustrative examples are provided to highlight the effectiveness of the results obtained in the paper.

Keywords: well-posedness and generalized well-posedness; commanded variational inequality; monotonicity; hemicontinuity; pseudomonotonicity; functional (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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