Quasi-Equilibrium Problems and Fixed Point Theorems of Separately l.s.c and u.s.c Mappings
Nguyen Xuan Tan · Numerical Functional Analysis and Optimization · 2017
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.