Premium
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.