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Occasionally weakly compatible mappings and fixed points. (English) Zbl 1256.54079

Summary: In the present paper we show that the contractive conditions employed by M. A. Al-Thagafi and N. Shahzad [Acta Math. Sin., Engl. Ser. 24, No. 5, 867–876 (2008; Zbl 1175.41026)] in particular and contractive conditions in general do not constitute a proper setting for studying common fixed points of occasionally weakly compatible mappings. Further, we improve the results of Al-Thagafi and Shahzad by employing a proper setting.

MSC:

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

Citations:

Zbl 1175.41026
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Full Text: Euclid