On Vector Equilibrium Problem with Generalized Pseudomonotonicity
Journal Title: Communications in Nonlinear Analysis - Year 2019, Vol 4, Issue 2
Abstract
In this paper, first a short history of the notion of equilibrium problem in Economics and Nash$\acute{'}$ game theory is stated. Also the relationship between equilibrium problem among important mathematical problems like optimization problem, nonlinear programming, variational inequality problem, fixed point problem and complementarity problem is given. The concept of generalized pseudomonotonicity for vector valued bifunctions is introduced. By using it some existence results for the vector equilibrium problem, in the setting of topological vector spaces, are presented. Some examples in order to illustrate the main results and compare them with the corresponding published results are furnished. Further, the compactness of the solution set of vector equilibrium problem is investigated.
Authors and Affiliations
Ali Farajzadeh, Syyedeh Marzieh Halimi
Keywords
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- EP ID EP648760
- DOI 10.22034/AMFA.2019.583570.1170
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