We consider a strong mixed vector equilibrium problem in topological vector spaces. Using generalized Fan-Browder fixed point theorem (Takahashi 1976) and generalized pseudomonotonicity for multivalued mappings, we provide some existence results for strong mixed vector equilibrium problem without using KKM-Fan theorem. The results in this paper generalize, improve, extend, and unify some existence results in the literature. Some special cases are discussed and an example is constructed.
Adem Kılıçman. Rais Ahmad. Mijanur Rahaman. "Existence Results for Strong Mixed Vector Equilibrium Problem for Multivalued Mappings." Abstr. Appl. Anal. 2014 (SI71) 1 - 6, 2014. https://doi.org/10.1155/2014/497846