Search results for " cyclic contraction"

showing 2 items of 2 documents

Best proximity point theorems for proximal cyclic contractions

2017

The purpose of this article is to compute a global minimizer of the function $$x\longrightarrow d(x, Tx)$$ , where T is a proximal cyclic contraction in the framework of a best proximally complete space, thereby ensuring the existence of an optimal approximate solution, called a best proximity point, to the equation $$Tx=x$$ when T is not necessarily a self-mapping.

021103 operations researchProximal cyclic contractionApplied Mathematics010102 general mathematicsMathematical analysisBest proximity point0211 other engineering and technologies02 engineering and technologyFunction (mathematics)Fixed pointTopology01 natural sciencesComplete metric spaceCyclic contractionSettore MAT/05 - Analisi MatematicaModeling and SimulationPoint (geometry)Global minimizationGeometry and Topology0101 mathematicsApproximate solutionMathematics
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Generalized (varphi,psi)-weak contractions involving (f,g)-reciprocally continuous maps in fuzzy metric spaces

2013

We introduce the notion of (f,g)-reciprocal continuity in fuzzy metric spaces and prove a common fixed point theorem for a pair of sub-compatible maps by employing a generalized (varphi,psi)-weak contraction. As an application of our result, we prove a theorem for a (varphi,psi)-weak cyclic contraction in fuzzy metric spaces.

Settore MAT/05 - Analisi MatematicaCommon fixed point cyclic contraction reciprocally continuous maps sub-compatible maps.
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