Fuzzy equilibrium existence for Bayesian abstract fuzzy economies and applications to random quasi-variational inequalities with random fuzzy mappings

TL;DR

This paper introduces a Bayesian fuzzy economy model, proves the existence of equilibrium, and applies these results to establish solutions for random quasi-variational inequalities and fixed point theorems involving fuzzy mappings.

Contribution

It presents a novel Bayesian fuzzy economy framework and demonstrates equilibrium existence, extending the theory to random quasi-variational inequalities and fixed point results.

Findings

Existence of Bayesian fuzzy equilibrium proved.

Solutions for random quasi-variational inequalities established.

New random fixed point theorems derived.

Abstract

In this paper, we introduce a Bayesian abstract fuzzy economy model and we prove the Bayesian fuzzy equilibrium existence. As applications, we prove the existence of the solutions for two types of random quasi-variational inequalities with random fuzzy mappings and we also obtain random fixed point theorems.