Search results for "Property UC"

showing 2 items of 2 documents

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

2009

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.

Discrete mathematicsProperty (philosophy)Applied MathematicsMathematical analysisBest proximity pointBanach spaceRegular polygonMetric spaceCyclic contractionSettore MAT/05 - Analisi MatematicaConvergence (routing)Point (geometry)Property UCAnalysisMathematics
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Three existence theorems for weak contractions of Matkowski type

2010

We prove three generalizations of Matkowski’s fixed point theorems for weakly contractions.

fixed point best proximity point cyclic weak contraction property UC.Settore MAT/05 - Analisi Matematica
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