Existence Results for Strong Mixed Vector Equilibrium Problem for Multivalued Mappings

الملخص EN

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.