ON SET-VALUED MIXED VECTOR VARIATIONAL-LIKE INEQUALITIES IN BANACH SPACES

SUHEL AHMAD  KHAN

ON SET-VALUED MIXED VECTOR VARIATIONAL-LIKE INEQUALITIES IN BANACH SPACES

Authors

SUHEL AHMAD KHAN Department of Mathematics, BITS-Pilani, Dubai Campus P.O. Box 345055, Dubai, U.A.E.

Keywords:

H-uniform continuity, Hausdorff metric, Complete continuity, Generalized η-pseudomonotone

Abstract

In this paper we introduce the concept of generalized $\eta$-pseudomonotone mappings and generalized version of vector mixed variational-like inequalities in Banach spaces. Utilizing Ky Fan's Lemma and Nadler's Lemma, we derive the solvability for this class of vector mixed variational-like inequalities involving generalized $\eta$-pseudomonotone mappings. The results presented in this work are extensions and improvements of some earlier and recent results in the literature.