On a Cyclic Jungck Modified <i>ts</I>-iterative Procedure With Application Examples

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Date

2014

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Elsevier Science inc

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Green Open Access

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Abstract

This article investigates some convergence properties of quasi-cyclic and cyclic Jungck modified TS-iterative schemes in complete metric spaces and Banach spaces. The uniqueness of the best proximity points is investigated. It is basically assumed that one of the self-mappings is asymptotically nonexpansive while the other is asymptotically contractive with several particular cases. Some application examples are also discussed. (C) 2014 Elsevier Inc. All rights reserved.

Description

KARAPINAR, ERDAL/0000-0002-6798-3254; de la Sen, manuel/0000-0001-9320-9433

Keywords

Best proximity points, Jungck iterative scheme, Uniformly convex Banach space, Iterative procedures involving nonlinear operators, uniformly convex Banach space, Numerical solutions to equations with nonlinear operators, Discrete version of topics in analysis, best proximity points, Jungck iterative scheme

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Fields of Science

0101 mathematics, 01 natural sciences

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Q1

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Q1
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OpenCitations Citation Count
11

Source

Applied Mathematics and Computation

Volume

233

Issue

Start Page

383

End Page

397

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CrossRef : 10

Scopus : 18

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18

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21

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3

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