Fixed point theorems for better admissible multimaps on abstract convex spaces

Abstract

In this paper, a better admissible class B+ is introduced and a new fixed point theorem for better admissible multimap is proved on abstract convex spaces. As a consequence, we deduce a new fixed point theorem on abstract convex ϕ-spaces. Our main results generalize some recent work due to Lassonde, Kakutani, Browder, and Park.