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Fixed point theory for generalized contractive maps of Meir–Keeler type
Author(s) -
Agarwal Ravi P.,
O'Regan Donal,
Shahzad Naseer
Publication year - 2004
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310208
Subject(s) - mathematics , metric space , fixed point , type (biology) , pure mathematics , domain (mathematical analysis) , fixed point theorem , mathematical analysis , ecology , biology
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)