A generalization of Fan-Browder's fixed point theorem and its applications
The purpose of this paper is to obtain some generalizations of fundamental results in nonlinear analysis from \textit{B. Peleg}'s theorem [Can. J. Math. 19, 366-369 (1967; Zbl 0154.203)]. In Section 2, the authors give an extension of Peleg's theorem to topological spaces. In Section 3, they give an extension of Fan-Browder's fixed point theorem. In Section 4, the authors show that the Ky Fan type of inequality is equivalent to the corresponding Fan-Browder type of theorem presented in Section 3. Finally, in Section 5, the authors give a generalization of Ky Fan's intersection theorem for sets with convex section.
scientific article; zbMATH DE number 591495