Convergence and best proximity points for Berinde's cyclic contraction with proximally complete property | Zendy

Sanhan Sujitra | Zendy; Mongkolkeha Chirasak | Zendy

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Convergence and best proximity points for Berinde's cyclic contraction with proximally complete property

Author(s) -

Sanhan Sujitra,

Mongkolkeha Chirasak

Publication year - 2016

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.3829

Subject(s) - contraction (grammar) , mathematics , contraction mapping , metric space , property (philosophy) , convergence (economics) , pure mathematics , algorithm , philosophy , epistemology , medicine , economics , economic growth

In this paper, we introduce the concept of Berinde's cyclic contraction that is a generalized cyclic contraction mapping by using the idea of weak contraction mapping which is defined by Berinde and prove best proximity point theorems for such a mapping in metric space with proximally complete property, Our results improve and extend the recent results of Eldred and Veeramani and some authors. Copyright © 2016 John Wiley & Sons, Ltd.

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