Quasi-Equilibrium Problems and Fixed Point Theorems of Separately l.s.c and u.s.c Mappings. (25th January 2018)

• Record Type: Journal Article
• Authors: Xuan Tan, Nguyen
• Is Part Of: Numerical functional analysis and optimization. Volume 39:Number 2(2018)
• Page Start: 233
• Page End: 255
• Publication Date: 2018-01-25
• Subjects: Fixed point theorems -- generalized quasi-equilibrium problems -- upper and lower semicontinuous mappings; 49J27 -- 49J53 -- 91B50 -- 90C48; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2017.1360346
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: In this paper, we apply our new results on quasi-variational inequality problems to generalized quasi-equilibrium problems. Some sufficient conditions on the existence of solutions are shown. In particular, we establish several results on the existence of solutions to fixed points of separately lower and upper semicontinuous (lower and lower, upper and upper) mappings.These generalize some well-known fixed point theorems obtained by previous authors as Browder and Ky Fan, Wu, et al., etc.