Open Access
December 2006 Birkhoff-Kellogg and Best Proximity Pair Results
Ravi P. Agarwal, Donal O'Regan, Naseer Shahzad
Bull. Belg. Math. Soc. Simon Stevin 13(4): 645-655 (December 2006). DOI: 10.36045/bbms/1168957341

Abstract

The paper presents new Birkhoff-Kellogg type theorems for maps in the S-KKM class. Best proximity pair theorems are also established for the admissible class ${\mathfrak A}_c^\kappa$ and the $PK$ class.

Citation

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Ravi P. Agarwal. Donal O'Regan. Naseer Shahzad. "Birkhoff-Kellogg and Best Proximity Pair Results." Bull. Belg. Math. Soc. Simon Stevin 13 (4) 645 - 655, December 2006. https://doi.org/10.36045/bbms/1168957341

Information

Published: December 2006
First available in Project Euclid: 16 January 2007

zbMATH: 1131.47053
MathSciNet: MR2300621
Digital Object Identifier: 10.36045/bbms/1168957341

Subjects:
Primary: 47H10

Keywords: countably condensing maps , Invariant direction , proximity pair theorems , S-KKM maps

Rights: Copyright © 2006 The Belgian Mathematical Society

Vol.13 • No. 4 • December 2006
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