Applications of the KKM property to coincidence theorems, equilibrium\n problems, minimax inequalities and variational relation problems

2016/05/10 by Monica Patriche, Patriche, Monica
Computer Science · #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Optimization and Control (math.OC) #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.1605.03016

openalex publication_date 2016/05/10 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

In this paper, we establish coincidence-like results in the case when the\nvalues of the correspondences are not convex. In order to do this, we define a\nnew type of correspondences, namely properly quasi-convex-like. Further, we\napply the obtained theorems to solve equilibrium problems and to establish a\nminimax inequality. In the last part of the paper, we study the existence of\nsolutions for generalized vector variational relation problems. Our analysis is\nbased on the applications of the KKM principle. We establish existence theorems\ninvolving new hypothesis and we improve the results of some recent papers.\n

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