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Di Bari, Cristina; Suzuki, Tomonari; Vetro, Calogero

Best proximity points for cyclic Meir-Keeler contractions. (English) Zbl 1169.54021

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 11, 3790-3794 (2008).
Summary: We introduce a notion of cyclic Meir-Keeler contractions and prove a theorem which assures the existence and uniqueness of a best proximity point for cyclic Meir-Keeler contractions. This theorem is a generalization of a recent result due to A. A. Eldred and P. Veeramani [J. Math. Anal. Appl. 323, No. 2, 1001–1006 (2006; Zbl 1105.54021)].

Cited in 2 Reviews
Cited in 151 Documents

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
47H10 Fixed-point theorems

Keywords:

cyclic Meir-Keeler contraction; cyclic contraction; best proximity point

Citations:

Zbl 1105.54021
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\textit{C. Di Bari} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 11, 3790--3794 (2008; Zbl 1169.54021)
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References:

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