Remarks on some variants of minimal point theorem and Ekeland variational principle with applications

Abstract

This paper presents some variants of minimal point theorem together with corresponding variants of Ekeland variational principle. In the second part of this article, there is a discussion on Ekeland variational principle and minimal point theorem relative to it in uniform spaces. The aim of these series of important results is to highlight relations between them, some improvements and specific applications.

Keywords

• minimal point
• ekeland variational principle
• luc functional
• convex cone
• uniform space
• equilibrium problem
• location problem
• multicriteria control problem
• multicriteria fractional programming problem
• stochastic efficiency
• 49j27
• 49j35
• 49j40