Fixed points via “biased maps”

Jungck, G.; Pathak, H. K.

doi:10.1090/S0002-9939-1995-1283555-5

Fixed points via “biased maps”
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by G. Jungck and H. K. Pathak

Proc. Amer. Math. Soc. 123 (1995), 2049-2060

DOI: https://doi.org/10.1090/S0002-9939-1995-1283555-5

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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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