Generalized Vector Quasi-Equilibrium Problems Involving Relaxed Continuity of the Set-Valued Maps

Monica Patriche

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arXiv · 1605.03051

Generalized Vector Quasi-Equilibrium Problems Involving Relaxed Continuity of the Set-Valued Maps

Monica Patriche

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Abstract

In this paper, we study the existence of solutions for generalized vector quasi-equilibrium problems. Firstly, we prove that in the case of Banach spaces, the assumptions of continuity over correspondences can be weakened. The theoretical analysis is based on fixed-point theorems. Secondly, we establish new equilibrium theorems as applications of the KKM principle.

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Monica Patriche. 2016-05-10. Generalized Vector Quasi-Equilibrium Problems Involving Relaxed Continuity of the Set-Valued Maps. https://arxiv.org/abs/1605.03051

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