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Vector Equilibrium Problems—A Unified Approach and Applications

Published:2024-05-08 Issue:10 Volume:12 Page:1448
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Stamate Cristina¹

Affiliation:

1. “Octav Mayer” Institute of Mathematics, Romanian Academy, Iaşi Branch, Bd. Carol I, No. 11, 700506 Iaşi, Romania

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.

Publisher

MDPI AG

Link

https://www.mdpi.com/2227-7390/12/10/1448/pdf

Reference33 articles.

1. From optimization and vector variational inequalities to equilibrium problems;Blum;Math. Stud.,1994

2. Variational Primciples for Vector Equilibrium Problem Related to Conjugate Duality;Altangerel;J. Nonlinear Convex Anal.,2007

3. Existence Theorems for Vector Equilibrium Problems via Quasi Relative Interior;Sci. J.,2013

4. Optimality Conditions for Vector Equilibrium Problems;Gong;J. Math. Annal. Appl.,2008

5. The existence of ε-solutions to General Quasiequilibrium Problems;Hai;Vietnam J. Math.,2007

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