Memudu Olaposi Olatinwo A GENERALIZATION OF SOME CONVERGENCE RESULTS USING A JUNGCK-NOOR THREE-STEP ITERATION PROCESS IN ARBITRARY BANACH SPACE
نویسنده
چکیده
In this paper, we shall introduce a Jungck-Noor three-step iteration process to establish a strong convergence result for a pair of nonselfmappings in an arbitrary Banach space by employing a general contractive condition. Our result is a generalization and extension of a multitude of results. In particular, it is a generalization and extension of some of the results of Kannan [11, 12], Rhoades [17, 18] and those of Berinde [4], Rafiq [16] and Olatinwo [15].
منابع مشابه
Convergence Results for Jungck-type Iterative Processes in Convex Metric Spaces
In this paper, the convergence results of [V. Berinde; A convergence theorem for Mann iteration in the class of Zamfirescu operators, Analele Universitatii de Vest, Timisoara, Seria Matematica-Informatica 45 (1) (2007), 33–41], [V. Berinde; On the convergence of Mann iteration for a class of quasi-contractive operators, Preprint, North University of Baia Mare (2003)] and [V. Berinde; On the Con...
متن کاملConvergence and Stability Results for Some Iterative Schemes
We obtain strong convergence results for quasi-contractive operators in arbitrary Banach space via some recently introduced iterative schemes and also establish stablity theorems for Kirk’s iterative process. Our results generalize and extend some well-known results in the literature. 2000 Mathematics Subject Classification: 47H06, 47H10.
متن کاملSome Convergence Results for the Jungck-mann and the Jungck-ishikawa Iteration Processes in the Class of Generalized Zamfirescu Operators
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 t...
متن کاملSome Convergence Results for Sequences of Operators in Banach Spaces
In this paper, we establish some fixed point theorems in connection with sequences of operators in the Banach space setting for Mann and Ishikawa iterative processes. Our results extend some of the results of Berinde, Bonsall, Nadler and Rus from complete metric space to the Banach space setting.
متن کاملOn the Convergence of Modified Three-step Iteration Process for Generalized Contractive-like Operators (communicated by Martin Hermann)
In this paper, we introduce a new Jungck-three step iterative scheme and call it modified three-step iteration process. A strong convergence theorem is proved using this iterative process for the class of generalized contractive-like operators introduced by Olatinwo [14] and Bosede [3] respectively, in a Banach space. The results obtained in this paper improve and generalize among others, the r...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008