A Generalization of H-Space and Some Results on Multivalued Mappings Without Convexity

In this paper we introduce the concept of G-H-space which is a generalization of H-space and a G-H-KKM map which unifies H-KKM maps and generalized KKM maps, and obtain intersection and fixed point theorems in G-H-space. We also give applications to the existence of greatest and maximal elements for preference relations in topological spaces.