From an Abstract Maximal Element Principle to Optimization Problems,Stational Point Theorems and Common Fixed Point Theorems

摘要

[[abstract]]In this paper, we first establish an existence theorem related with intersectiontheorem, maximal element theorem and common fixed point theorem for multivalued mapsby applying an abstract maximal element principle proved by Lin and Du. Some new stationarypoint theorems, minimization problems, new fixed point theorems and a system ofnonconvex equilibrium theorem are also given.