Random Ekeland Variational Principle and the Applications in Random Optimal Problems

Abstract

It is well kown that Ekeland variational principle is widely used in optimal theory, in optimal theory, mathematics on economics , management and so on. In this paper, we extend Ekeland variational principle to a random metric space, which makes it be suitable for random optimal theory. Then by using the new result we consider the existence of random approximate minimum point for a class of random optimal problem