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Equivalent contractive conditions in symmetric spaces. (English) Zbl 1080.47046

Summary: We introduce 22 contractive conditions in symmetric spaces. We prove that all these contractive conditions are equivalent. Then we use these conditions to get some common fixed point theorems for noncompatible maps.

MSC:

47H10 Fixed-point theorems
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
54H25 Fixed-point and coincidence theorems (topological aspects)

Citations:

Zbl 1056.47036
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References:

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