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General common fixed point theorems and applications. (English) Zbl 1276.54040

Summary: The main result is a common fixed point theorem for a pair of multivalued maps on a complete metric space extending a recent result of D. Đorić and R. Lazović [Fixed Point Theory Appl. 2011, Article ID 40, 8 p., electronic only (2011; Zbl 1274.54150)] for a multivalued map on a metric space satisfying Ćirić-Suzuki-type-generalized contraction. Further, as a special case, we obtain a generalization of an important common fixed point theorem of Ćirić (1974). Existence of a common solution for a class of functional equations arising in dynamic programming is also discussed.

MSC:

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

Citations:

Zbl 1274.54150
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References:

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