On Vector Equilibrium Problem with Generalized Pseudomonotonicity

Journal Title: Advances in Mathematical Finance and Applications - 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 EP658565
  • DOI 10.22034/amfa.2019.583570.1170
  • Views 61
  • Downloads 0

How To Cite

Ali Farajzadeh, Syyedeh Marzieh Halimi (2019). On Vector Equilibrium Problem with Generalized Pseudomonotonicity. Advances in Mathematical Finance and Applications, 4(2), 65-74. https://europub.co.uk/articles/-A-658565