Best proximity point theorems for generalized cyclic contractions in ordered metric spaces. (English) Zbl 1257.54041

Mongkolkeha, Chirasak; Kumam, Poom

J. Optim. Theory Appl. 155, No. 1, 215-226 (2012).

Summary: We generalize cyclic contractions on partially ordered complete metric spaces. We prove some fixed point theorems as well as some theorems on the existence of best proximity points. Our results improve and extend some recent results in previous work.

MSC:

54H25

Fixed-point and coincidence theorems (topological aspects)

Keywords:

fixed point; best proximity point; property \(UC\); generalized cyclic contraction

References:

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