Vector Equilibrium Problems—A Unified Approach and Applications

Cristina Stamate ()
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Cristina Stamate: “Octav Mayer” Institute of Mathematics, Romanian Academy, Iaşi Branch, Bd. Carol I, No. 11, 700506 Iaşi, Romania

Mathematics, 2024, vol. 12, issue 10, 1-21

Abstract: We present existing results and properties for the solutions of some vector equilibrium problems with set-valued functions in the case of a vector space ordered by a cone with some “interiority” properties. Some applications concerning the existence of equilibrium for abstract economies and vector optimization problems are given.

Keywords: ordered vector space; convex cone; efficient points; vector equilibrium problem; solutions set; set-valued function; abstract economy; Walrasian equilibrium; efficient points; conjugate duality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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