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SOME CONVERGENCE RESULTS FOR THE JUNGCK-MANN AND THE JUNGCK-ISHIKAWA ITERATION PROCESSES IN THE CLASS OF GENERALIZED ZAMFIRESCU OPERATORS.

Authors :
Olatinwo, M. O.
Imoru, C. O.
Source :
Acta Mathematica Universitatis Comenianae. 2008, Vol. 77 Issue 2, p299-304. 6p.
Publication Year :
2008

Abstract

In this paper, we shall establish some strong convergence results for the recently introduced Jungck-Mann iteration process of Singh et al. [18] and the newly introduced Jungck-Ishikawa iteration process in the class of non-selfmappings in an arbitrary Banach space. Our results are generalizations and extensions of those of Berinde [4], Rhoades [13, 14] as well as some other analogous ones in the literature. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
08629544
Volume :
77
Issue :
2
Database :
Academic Search Index
Journal :
Acta Mathematica Universitatis Comenianae
Publication Type :
Academic Journal
Accession number :
34696388