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Fixed points via “biased maps”. (English) Zbl 0824.47045

Summary: 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.

MSC:

47H10 Fixed-point theorems
54H25 Fixed-point and coincidence theorems (topological aspects)
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