On completely distributive lattice, the notion of fuzzy generalized convex space is introduced. It can be characterized by many means including fuzzy generalized hull space, fuzzy generalized restricted hull space, fuzzy generalized convexly enclosed relation space and fuzzy generalized derived hull space.
This paper deals with coincidence and fixed point theorems in
minimal generalized convex spaces. By establishing a kind of KKM Principle
in minimal generalized convex space, we obtain some results on coincidence
point and fixed point theorems. Generalized versions of Ky Fan?s lemma,
Fan-Browder fixed point theorem, Nash equilibrium theorem and some
Urai?s type fixed point theorems in minimal generalized convex spaces are
given.
Fixed point theorems in minimal generalized convex spaces