On a new class of systems of generalized quasy-variational inequalities

TL;DR

This paper introduces new classes of generalized quasi-variational inequality systems, establishing solution existence through equilibrium concepts in fuzzy and random free abstract economies, expanding the theoretical framework for such inequalities.

Contribution

It presents novel types of generalized quasi-variational inequalities and proves their solutions' existence using equilibrium results in fuzzy and random economic models.

Findings

Existence of solutions for new quasi-variational inequality systems.

Development of fuzzy and random models for these inequalities.

Linking solutions to equilibrium pairs in abstract economies.

Abstract

We introduce new types of systems of generalized quasi-variational inequalities and we prove the existence of the solutions by using results of pair equilibrium existence for free abstract economies. We consider the fuzzy models and we also introduce the random free abstract economy and the random equilibrium pair. The existence of the solutions for the systems of quasi-variational inequalities comes as consequences of the existence of equilibrium pairs for the considered free abstract economies.