A generalization of some convergence results using a Jungck-Noor three-step iteration process in arbitrary Banach space
2008
scientific article
english
- arbitrary Banach space
- strong convergence result
- Jungck-Noor three-step iteration process
EN 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].
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