Strong Convergence Theorems for Coincident Points of Banach Operator Pair

Sudhansu Sekhar¹ , Gyandeo Prasad Tiwary²

1. Dept. of Mathematics, Rajendra College (Jaiprakash University), Chapra, India.
2. Dept. of Mathematics, Rajendra College (Jaiprakash University), Chapra, India.

Section:Review Paper, Product Type: Journal-Paper
Vol.4 , Issue.4 , pp.1-6, Aug-2017

Online published on Aug 30, 2017

Copyright © Sudhansu Sekhar, Gyandeo Prasad Tiwary . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
We obtain results concerning strong convergence of coincident fixed points of asymptotically I-nonexpansive map T for which (T, I) is a Banach operator pair in a Banach space with uniformly Gateaux differentiable norm. Several coincident point and best approximation results for this newly defined class of maps are proved.

Key-Words / Index Term :
Banach, Gateaux, Approximation

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