Volume 276, Issue 1 pp. 3-22
Original Paper

Fixed point theory for generalized contractive maps of Meir–Keeler type

Ravi P. Agarwal

Corresponding Author

Ravi P. Agarwal

Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, Florida 32901, USA

Phone: +1 321 674 7202, Fax: +1 321 674 7412Search for more papers by this author
Donal O'Regan

Donal O'Regan

Department of Mathematics, National University of Ireland, Galway, Ireland

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Naseer Shahzad

Naseer Shahzad

Department of Mathematics, King Abdul Aziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

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First published: 08 October 2004
Citations: 32

Abstract

Fixed point, domain invariance and coincidence results are presented for single-valued generalized contractive maps of Meir–Keeler type defined on complete metric spaces (or more generally complete gauge spaces). The maps of Caristi type are also considered. In addition the random analogue of some of these fixed point results will be presented. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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