AN EXTENSION OF MULTI-VALUED QUASI-GENERALIZED SYSTEM

Abstract

Recently, Kazmi and Khan [7] introduced a kind of equilibrium problem called generalized system (GS) with a singlevalued bi-operator F . Next, in [10], the first author considered a generalization of (GS) into a multi-valued circumstance called the multi-valued quasi-generalized system (in short, MQGS). In the current work, we provide an extension of (MQGS) into a system of (MQGS) in general settings. This system is called the generalized multi-valued quasi-generalized system (in short, GMQGS). Using the existence theorem for abstract economy by Kim [8], we prove the existence of solutions for (GMQGS) in the framework of Hausdorff topological vector spaces. As an application, an existence result of a system of generalized vector quasi-variational inequalities is derived.

This article was migrated from the previous system via automation. The abstract may not be written correctly. Please view the PDF file.