STRONG CONVERGENCE THEOREMS FOR GENERALIZED NON-EXPANSIVE MAPPINGS IN ABBAS AND NAZIR ITERATVE PROCESS

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

Volume : 21 , Issue : Proceedings
Author :
M. Joseph Jawahar Peppy (Department of Mathematics, Manonmaniam Sundaranar University College, Govindaperi, Tirunelveli - 627414, Tamil Nadu, INDIA)
A. Antony Eldred (PG and Research Department of Mathematics, St. Joseph s College (Autonomous), Tiruchirappalli - 620002, Tamil Nadu, INDIA)

Abstract

We analyze the Abbas and Nazir iteration and discuss its convergence properties to the fixed point of generalized non-expansive mappings. We prove that Abbas and Nazir iterative scheme converges for such mappings under suitable conditions. Furthermore, we illustrate with a numerical to support of our analytical proof.

Keywords and Phrases

Abbas and Nazir iterative process, generalized non-expansive mappings, uniformly convex, fixed point.

A.M.S. subject classification

47H09, 47H10, 54H25.

.....

View PDF Click here to Subscribe now