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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.doi:10.1090/s0002-9939-1995-1283555-5 fatcat:qzfflj7jebdojaglyzauni5aji