Weekly Activities

Quasi-intersection problems and fixed point theorems of the sum of l.s.c and u.s.c mappings
Speaker: Nguyen Xuan Tan

Time: 9h00, Wednesday, October 23, 2019,
Room 507-508, Building A6, Institute of Mathematics
We first formulate generalized quasi-intersection 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 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, etc.
Lastly, we apply the obtained results to quasi-equilibrium problems of types I, II and mixed quasi-equilibrium problems of these two types.