The class 𝔄- and generalized mapping are introduced, and some generalized 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.
Gusheng Tang. Qingbang Zhang. "Class 𝔄-, General Type Theorems, and Their Applications in Topological Vector Space." Abstr. Appl. Anal. 2014 (SI69) 1 - 10, 2014. https://doi.org/10.1155/2014/238191