Title of article :
Strong Vector Equilibrium Problems on Noncompact Sets
Author/Authors :
Wang, San-Hua Nanchang University - Department of Mathematics, China , Li, Qiu-Ying Nanchang University - College of Science and Technology, China , Fu, Jun-Yi Nanchang University - College of Science and Technology - Department of Mathematics, Nanchang
Abstract :
In this paper, by using the famous Brouwer fixed point theorem, some existence theorems of strong efficient solutions for the strong vector equilibrium problems are obtained on noncompact sets of general real Hausdorff topological vector spaces without assuming that the dual of the ordering cone has a weak compact base. Moreover, the closeness and the convexity of the strong e cient solution sets are discussed.
Keywords :
Strong vector equilibrium problem , strong efficient solution , noncompact set , closeness , convexity.
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
