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Common fixed point theorems of contractive-type mappings. (English) Zbl 1086.47023
Let \((X,D)\) be a \(D\)-metric space (\(D: X \times X \times X \to \mathbb R_+\); see B. C. Dhage [Bull. Calcutta Math. Soc., 84, No. 4, 329–336 (1992; Zbl 0782.54037)]). Let \(S,T: X \to X\) be two operators. The authors give some metric conditions which imply that \(S\) and \(T\) have a unique common fixed point. No examples are given.
MSC:
47H10 Fixed-point theorems
54H25 Fixed-point and coincidence theorems (topological aspects)
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
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