Upper order-preservation of the solution correspondence to vector equilibrium problems. (2nd September 2019)

• Record Type: Journal Article
• Authors: Wang, Yuehu; Liu, Baoqing
• Is Part Of: Optimization. Volume 68:Number 9(2019)
• Page Start: 1769
• Page End: 1789
• Publication Date: 2019-09-02
• Subjects: Order-theoretic fixed point -- upper order-preservation -- vector equilibrium problems; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2019.1612892
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract : In this paper, several order-theoretic fixed point theorems are proved on partially ordered topological spaces. Applying these fixed point theorems, we explore the existence and upper order-preservation for parametric vector equilibrium problems. In contrast to the previous results on vector equilibrium problems, the upper order-preservation of solutions is a new subject, which would be useful for predicting the changing trend of solutions to vector equilibrium problems. In addition, neither topological continuity nor convexity of the considered vector-valued bifunction F is required in our results.