Approximating best proximity points for Reich type non-self nonexpansive mappings

Rajendra Pant; Rahul Shukla; Vladimir Rakočević

doi:10.1007/s13398-020-00931-2

Approximating best proximity points for Reich type non-self nonexpansive mappings

Rajendra Pant, Rahul Shukla, Vladimir Rakočević

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

In this paper, we consider a general class of non-self non expansive mappings and present best proximity point results in Hilbert spaces. More precisely, we employ a Krasnosel’skiĭ–Mann type algorithm to approximate best proximity points of non-self mappings. We also propose some hybrid algorithms and obtain certain strong convergence results.

Original language	English
Article number	197
Journal	Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas
Volume	114
Issue number	4
DOIs	https://doi.org/10.1007/s13398-020-00931-2
Publication status	Published - 1 Oct 2020
Externally published	Yes

Keywords

Best proximity point
Hilbert space
Non-self mapping

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Geometry and Topology
Computational Mathematics
Applied Mathematics

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10.1007/s13398-020-00931-2

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JO - Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas

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Approximating best proximity points for Reich type non-self nonexpansive mappings

Abstract

Keywords

ASJC Scopus subject areas

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