Cone-Compactness of a Set and Applications to Set-Equilibrium Problems

Marius Durea () and Elena-Andreea Florea ()
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Marius Durea: “Alexandru Ioan Cuza” University
Elena-Andreea Florea: “Alexandru Ioan Cuza” University

Journal of Optimization Theory and Applications, 2024, vol. 200, issue 3, No 15, 1286-1308

Abstract: Abstract We study the possibility to get a sequential characterization of the compactness of a set with respect to a cone. Then, we consider some set-equilibrium problems (whose formulations are inspired by set-optimization problems) and in the study of the existence of a solution of these problems we employ the generalized compactness investigated before. Several technical tools are needed throughout the presentation in order to fulfill these objectives. Furthermore, several illustrating examples are presented in order to clearly motivate our theoretical results.

Keywords: Cone-compactness; Equilibrium problems; Set-optimization; 49J53; 54C60 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10957-024-02384-8

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