CONVERGENCE OF MODIFIED ISHIKAWA ITERATES FOR NEARLY ASYMPTOTICALLY NONEXPANSIVE MAPS WITH NEW CONTROL CONDITIONS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850

Volume : 21 , Issue : Proceedings
Author :
Joyal Roy P. (Department of Mathematics, St. Joseph s College (Autonomous), Tiruchirappalli - 620002, Tamil Nadu, INDIA)
Anthony Eldred A. (Department of Mathematics, St. Joseph s College (Autonomous), Tiruchirappalli - 620002, Tamil Nadu, INDIA)
Julia Mary P. (Department of Mathematics, St. Xavier s College (Autonomous), Palayamkottai - 627002, Tamil Nadu, INDIA)

Abstract

We consider the modified ishikawa iteration and prove convergence results for a fixed point of nearly asymptotically nonexpansive self-mapping on a convex subset which is nonempty closed with relaxed conditions on the control sequences that generate the iterative process.

Keywords and Phrases

Nearly asymptotically nonexpansive mapping, Uniformly convex-Banach space, Modified Ishikawa iterative process.

A.M.S. subject classification

47H09, 47H10.

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