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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.
##### Keywords:
$$D$$-metric space; common fixed point
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