Generalized Vector Quasi-Equilibrium Problems

Adela Elisabeta Capătă ()
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Adela Elisabeta Capătă: Department of Mathematics, Technical University of Cluj-Napoca, 400027 Cluj-Napoca, Romania

Mathematics, 2024, vol. 12, issue 6, 1-14

Abstract: The aim of this paper is to present new existence results for solutions to a generalized quasi-equilibrium problem with set-valued mappings and moving cones. The key to this approach is a new Browder-type fixed point theorem, which permits working in a new direction with the milder condition of transfer open-valued mapping and considering weaker assumptions on the coving cone. These results are applied to some generalized vector quasi-equilibrium problems with trifunctions and to a vector quasi-equilibrium problem with fuzzy mappings in a fuzzy environment.

Keywords: generalized vector quasi-equilibrium problem; transfer open-valued; upper C ( x )-convex mapping; Browder-type fixed point theorem; continuous selection theorem; fuzzy mapping (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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