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Zbl 1169.54021
Di Bari, Cristina; Suzuki, Tomonari; Vetro, Calogero
Best proximity points for cyclic Meir-Keeler contractions. (English)
[J] Nonlinear Anal., Theory Methods Appl. 69, No. 11, A, 3790-3794 (2008). ISSN 0362-546X

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 {\it A. A. Eldred} and {\it P. Veeramani} [J. Math. Anal. Appl. 323, No. 2, 1001--1006 (2006; Zbl 1105.54021)].

MSC 2000:: *54H25 Fixed-point theorems in topological spaces
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces

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

Citations: Zbl 1105.54021

Cited in: Zbl 1206.54047 Zbl 1172.54028

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