New KKM Theorems，Matching Theorems and Section Theorem in G-convex Spaces

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（School of Mathematics and Physics，Suzhou University of Science and Technology，Suzhou，Jiangsu 215009，China）

1 Introduction and Preliminaries

Lee［3］studied generalized KKM mapping and proved the following result：

In［5，6］，Park and Kim introduced and studied generalized convex spaces（simply，G-convex spaces）and obtained many important results in G-convex spaces.Since then，some authors［1，3，7］proved KKM theorems in G-convex spaces，which extended and improved the results of Park and Kim.

The purpose of this paper is to establish some new KKM theorems in G-convex spaces and，as applications，to obtain some new matching theorems and section theorem in G-convex spaces.The results presented in this paper improve and generalize the corresponding results in［2，3，7］.

2 New KKM Theorems

3 Matching Theorems

4 Section theorem

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