# Fan-KKM Theorem in Minimal Vector Spaces and its Applications

Document Type: Research articles

Authors

1 Department of Mathematics, Faculty of Sciences, Golestan University

2 Young Researchers Club, Semnan Branch, Islamic Azad University

Abstract

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.

Keywords