APPROXIMATION OF FIXED POINTS OF SOME CLASSES OF NONLINEAR MAPPINGS

Okeke, G.A. (2015) APPROXIMATION OF FIXED POINTS OF SOME CLASSES OF NONLINEAR MAPPINGS. Fasciculi Mathematici, Nr 53 (Nr 53). pp. 113-127.

PDF Download (253kB)

Abstract

We introduce a new class of nonlinear mappings, the class of generalized strongly successively Phi- hemicontractive mappings in the intermediate sense and prove the convergence of Mann type iterative scheme with errors to their fixed points. This class of nonlinear mappings is more general than those defined by several authors. In particular, the class of generalized strongly successively Phi- hemicontractive mappings in the intermediate sense introduced in this study is more general than the class defined by Liu et al. [Z. Liu, J. K. Kim and K. H. Kim, Convergence theorems and stability problems of the modified Ishikawa iterative sequences for strictly successively hemicontractive mappings, Bull. Korean Math. Soc. 39 (2002), No. 3, pp. 455-469].

Item Type:	Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Engineering, Science and Mathematics > School of Chemistry
Depositing User:	Dr. G.A. Okeke
Date Deposited:	15 May 2015 09:15
Last Modified:	15 May 2015 09:15
URI:	http://eprints.covenantuniversity.edu.ng/id/eprint/5196

Actions (login required)

View Item