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Best proximity points for cyclic Meir–Keeler contractions

Cristina Di BariTomonari SuzukiCalogero Vetro

subject

Pure mathematicsGeneralizationApplied MathematicsBest proximity pointMathematics::General TopologyExistence theoremCyclic contractionCyclic Meir–Keeler contractionProximal contractionCyclic contractionSettore MAT/05 - Analisi MatematicaCalculusPoint (geometry)UniquenessAnalysisMathematics

description

Abstract 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 Eldred and Veeramani.

yearjournalcountryeditionlanguage
2008-12-01
10.1016/j.na.2007.10.014http://hdl.handle.net/10447/40160