Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Fixed points via ``biased maps''


Authors: G. Jungck and H. K. Pathak
Journal: Proc. Amer. Math. Soc. 123 (1995), 2049-2060
MSC: Primary 54H25; Secondary 47H10
MathSciNet review: 1283555
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Abstract: A generalization of compatible maps called "biased maps" is introduced and used to prove fixed point theorems for Meir-Keeler type contractions involving four maps. Extensions of known results are thereby obtained. In particular, a theorem by Kang and Rhoades is generalized.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1995-1283555-5
Keywords: S-biased maps, compatible maps, $ (\varepsilon ,\delta )$-contractions
Article copyright: © Copyright 1995 American Mathematical Society