VARIATIONAl INEQUALITY PROBLEMS IN H-SPACE ASSOCIATED WITH T-eta-PSEUDOINVEX FUNCTION

Abstract

The concepts of T-eta-pseudoinvex and T-eta-quasipseudoinvex functions are introduced for the study of generalized vector variational inequality problems in ordered topological vector spaces. Generalized monotone-like vector F-variational inequality problem (GMVVIPF) is introduced and its solution is studied in topological vector spaces. The concepts of contractible eta-invex set, contractible eta-invex hull, H-eta-space, H-eta-convex set, weakly H-eta-convex set, H-eta-compact set and eta-H-KKM mapping are introduced for the study of variational-type inequality problem in H-eta-spaces.