Class ?- K K M ( X , Y , Z )‎ , General K K M Type Theorems, and Their Applications in Topological Vector Space

Abstract EN

The class ?- K K M ( X , Y , Z ) and generalized K K M mapping are introduced, and some generalized K K M theorems are proved.

As applications, Ky Fan’s matching theorem and Fan-Browder fixed-point theorem are extended, and some existence theorems of solutions for the generalized vector equilibrium problems are established under noncompact setting, which improve and generalize some known results.