Fan-KKM Theorem in Minimal Vector Spaces and its Applications

Document Type: Research Articles


1 Department of Mathematics, Faculty of Sciences, Golestan University

2 Young Researchers Club, Semnan Branch, Islamic Azad University


In this paper, after reviewing some results in minimal space, some new results in this setting are given. We prove a generalized form of the Fan-KKM type
theorem in minimal vector spaces. As some applications, the open type of matching theorem and generalized form of the classical KKM theorem in minimal vector spaces are given.