On the existence of solutions for a generalized strong vector quasi-equilibrium problem

TL;DR

This paper investigates the existence of solutions for a generalized strong vector quasi-equilibrium problem, employing auxiliary results and approximation methods to establish key theorems.

Contribution

It introduces new existence results for generalized strong vector quasi-equilibrium problems using innovative auxiliary and approximation techniques.

Findings

Proved existence of solutions under new conditions

Developed approximation-based proof methods

Extended understanding of vector quasi-equilibrium problems

Abstract

In this paper, we consider a generalized strong vector quasi-equilibrium problem and we prove the existence of its solutions by using some suxiliary results. One of the established theorems is proved by using an approximation method.