Quasi-equilibrium problems and fixed point theorems
Speaker: Nguyen Xuan Tan

Time: 9h00, Friday, September 15, 2017
Room semina, Floor 5th, Building A6, Institute of Mathematics, Hanoi
We first formulate generalized quasi-equilibrium problems concerning multivalued mappings and give some sufficient conditions to the existence of their solutions. In particular, we establish several results on the existence of fixed points of the sum of  l.s.c  and  u.s.c mappings. These results generalize some well-known fixed point theorems obtained by previous authors as Ky Fan,  F. E. Browder and Ky Fan, X. Wu, L. J. Lin, and Z. T. Yu, .... Lastly, we apply the obtained results to quasi-equilibrium problems.