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RESEARCH PRODUCT

The existence of best proximity points in metric spaces with the property UC

Tomonari SuzukiMisako KikkawaCalogero Vetro

subject

Discrete mathematicsProperty (philosophy)Applied MathematicsMathematical analysisBest proximity pointBanach spaceRegular polygonMetric spaceCyclic contractionSettore MAT/05 - Analisi MatematicaConvergence (routing)Point (geometry)Property UCAnalysisMathematics

description

Abstract Eldred and Veeramani in [A.A. Eldred, P. Veeramani, Existence and convergence of best proximity points, J. Math. Anal. Appl., 323 (2006), 1001–1006. MR2260159] proved a theorem which ensures the existence of a best proximity point of cyclic contractions in the framework of uniformly convex Banach spaces. In this paper we introduce a notion of the property UC and extend the Eldred and Veeramani theorem to metric spaces with the property UC.

yearjournalcountryeditionlanguage
2009-10-01
10.1016/j.na.2009.01.173http://hdl.handle.net/10447/40159