The KKM maps and fixed point theorems in convex spaces

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Polly W. Sy
Sehie Park

Abstract

From a general form of the celebrated Knaster--Kuratowski--Mazurkiewicz (simply, KKM) theorem, we deduce a new form of the Fan--Browder fixed point theorem, an approximate fixed point theorem, and the Himmelberg fixed point theorem.

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How to Cite
Sy, P. W., & Park, S. (2003). The KKM maps and fixed point theorems in convex spaces. Tamkang Journal of Mathematics, 34(2), 169–174. https://doi.org/10.5556/j.tkjm.34.2003.264
Section
Papers
Author Biographies

Polly W. Sy

Department of Mathematics, College of Science, University of the Philippines, Diliman, Quezon City, Philippines.

Sehie Park

School of Mathematical Sciences, Seoul National University, Seoul 151-747, Korea.