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Compatible mappings of type \((C)\) and common fixed point theorems of Greguš type. (English) Zbl 0922.54036

The authors define the concept of compatible mappings of type (C), refining the related concepts of type (A) and (B) in normed spaces [cf. G. Jungck, P. P. Murthy and the second author, Math. Jap. 38, No. 2, 381-390 (1993; Zbl 0791.54059)]. They establish common fixed point theorems of Greguš type extending several known results, among others, that one of B. Fisher and the reviewer [Int. J. Math. Math. Sci. 9, 23-28 (1986; Zbl 0597.47036)].
Reviewer: S.Sessa (Napoli)

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54E45 Compact (locally compact) metric spaces
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