Fixed point theorems in "Equation missing" spaces with applications
Haishu Lu, Di Lan, Qingwen Hu, George Xianzhi Yuan · Journal of Inequalities and Applications · 2014
Abstract In this paper, noncompact CAT ( 0 ) versions of the Fan-Browder fixed point theorem are established. As applications, we obtain new minimax inequalities, a saddle point theorem, a fixed point theorem for single-valued mappings, best approximation theorems, and existence theorems of φ-equilibrium points for multiobjective noncooperative games in the setting of noncompact CAT ( 0 ) spaces. These results generalize many well-known theorems in the literature. MSC:91A10, 47H04, 47H10, 54H25.