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Some Convergence Results for the Jungck-Mann
and the Jungck-Ishikawa Iteration Processes
in the Class of Generalized Zamfirescu Operators
M. O. Olatinwo and C. O. Imoru
Received: July 11, 2007; Revised: April 3, 2008; Accepted: May 12, 2008
Abstract. In this paper, we shall establish some strong convergence results for the recently introduced Jungck-Mann iteration process of Singh et al.  and the newly introduced Jungck-Ishikawa iteration process in the class of nonselfmappings in an arbitrary Banach space. Our results are generalizations and extensions of those of Berinde , Rhoades [13, 14] as well as some other analogous ones in the literature.
Keywords: arbitrary Banach space; Jungck-Mann and Jungck-Ishikawa iteration processes.
AMS Subject classification: Primary: 47H06, 54H25
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