Bulletin of the Belgian Mathematical Society - Simon Stevin

Birkhoff-Kellogg and Best Proximity Pair Results

Ravi P. Agarwal, Donal O'Regan, and Naseer Shahzad

Full-text: Open access

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.

Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 13, Number 4 (2006), 645-655.

Dates
First available in Project Euclid: 16 January 2007

Permanent link to this document
https://projecteuclid.org/euclid.bbms/1168957341

Digital Object Identifier
doi:10.36045/bbms/1168957341

Mathematical Reviews number (MathSciNet)
MR2300621

Zentralblatt MATH identifier
1131.47053

Subjects
Primary: 47H10: Fixed-point theorems [See also 37C25, 54H25, 55M20, 58C30]

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

Citation

O'Regan, Donal; Shahzad, Naseer; Agarwal, Ravi P. Birkhoff-Kellogg and Best Proximity Pair Results. Bull. Belg. Math. Soc. Simon Stevin 13 (2006), no. 4, 645--655. doi:10.36045/bbms/1168957341. https://projecteuclid.org/euclid.bbms/1168957341


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