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학술저널

ON A GENERALIZED E-KKM THEOREM

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In this paper, using the E-convexity, we introduce the generalized E-KKM map, and next prove the generalized E-KKM theorem which generalizes the KKM theorem due to Fan [4]. As an application, a ¯xed point theorem in E-convex sets is given.

1. Introduction

2. Preliminaries

3. A generalized E-KKM theorem and its application

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