Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2018; 33(4): 1271-1284

Online first article July 5, 2018      Printed October 31, 2018

https://doi.org/10.4134/CKMS.c170450

Copyright © The Korean Mathematical Society.

Strong convergence of modified ishikawa iterates for asymptotically nonexpansive maps with new control conditions

A. Anthony Eldred, P. Julia Mary

St. Joseph's College, St. Joseph's College

Abstract

In this paper, we establish strong convergence of the modified Ishikawa iterates of an asymptotically non expansive self-mapping of a nonempty closed bounded and convex subset of a uniformly convex Banach space under a variety of new control conditions.

Keywords: uniformly convex Banach space, modified Ishikawa iterative process, asymptotically nonexpansive mapping

MSC numbers: 47H09, 47H10