Strong vector equilibrium problems in topological vector spaces via KKM maps

A.P. Farajzadeh; A. Amini-Harandi; D. O‘Regan; R.P. Agarwal

doi:10.4067/S0719-06462010000100018

Authors

A.P. Farajzadeh Department of Mathematics, Razi University, Kermanshah, 67149, Iran.
A. Amini-Harandi Department of Mathematics, University of Shahrekord, Shahrekord, 88186-34141, Iran.
D. O‘Regan Department of Mathematics, National University of Ireland, Galway, Ireland.
R.P. Agarwal Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA.

DOI:

https://doi.org/10.4067/S0719-06462010000100018

Keywords:

Strong vector equilibrium, Upper sign continuity, Pseudomonotone bifunction, Quasimonotone bifunction

Abstract

In this paper, we establish some existence results for strong vector equilibrium problems (for short, SVEP) in topological vector spaces. The solvability of the SVEP is presented using the Fan-KKM lemma. These results give a positive answer to an open problem proposed by Chen and Hou and generalize many important results in the recent literature.