6533b7d4fe1ef96bd1263329

RESEARCH PRODUCT

Best proximity point theorems for proximal cyclic contractions

Naseer ShahzadCalogero VetroS. Sadiq Basha

subject

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

description

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.

yearjournalcountryeditionlanguage
2017-06-03
10.1007/s11784-017-0447-8http://hdl.handle.net/10447/248939