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2005•Bulletin of the Korean Mathematical SocietyOpen access

A NOTE ON THE LEFSCHETZ FIXED POINT THEOREM FOR ADMISSIBLE SPACES

Ravi P. Agarwal, Donal O’Regan

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Abstract

ABSTRACT. The Lefschetz xed point theorem is discussed for the admissible maps of Gorniewicz de ned on admissible subsets of a Hausdor topological space. Also using the projective limit approach we present new Lefschetz xed point theorems for the admissible maps of Gorniewicz de ned on PRLF's or CPRLF's.

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ABSTRACT. The Lefschetz xed point theorem is discussed for the admissible maps of Gorniewicz de ned on admissible subsets of a Hausdor topological space. Also using the projective limit approach we present new Lefschetz xed point theorems for the admissible maps of Gorniewicz de ned on PRLF's or CPRLF's.

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ABSTRACT. The Lefschetz xed point theorem is discussed for the admissible maps of Gorniewicz de ned on admissible subsets of a Hausdor topological space. Also using the projective limit approach we present new Lefschetz xed point theorems for the admissible maps of Gorniewicz de ned on PRLF's or CPRLF's.

Key concepts: Mathematics, Lefschetz fixed-point theorem, Fixed-point theorem, Fixed point, Pure mathematics, Schauder fixed point theorem, Discrete mathematics, Mathematical analysis

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