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Linking contractive self-mappings and cyclic Meir-Keeler contractions with Kannan self-mappings. (English) Zbl 1194.54059

Summary: Some mutual relations between \(p\)-cyclic contractive self-mappings, \(p\)-cyclic Kannan self-mappings, and Meir-Keeler \(p\)-cyclic contractions are stated. On the other hand, related results about the existence of the best proximity points and existence and uniqueness of fixed points are also formulated.

MSC:

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