ON THE CONVERGENCE PROBLEMS OF ISHIKAWA AND MANN ITERATIVE PROCESSES WITH ERROR FOR Φ-PSEUDO CONTRACTIVE TYPE MAPPINGS

Abstract

Abstract: The purpose of this paper is to introduce the concept of Φ-pseudo contractive type mapping and to study the convergence problem of Ishikawa and Mann iterative processes with error for this kind of mappings. The results presented in this paper improve and extend many authors’recent results.

Key words: Φ-pseudo contractive type mapping, accretive mapping, pseudo_contractive mapping, Φ-strongly accretive mapping, Φ-hemi_contractive mapping, Ishikawa iterative processes with error, Mann iterative process with error

2010 MSC Number:

O177.91

Zhang Shisheng . ON THE CONVERGENCE PROBLEMS OF ISHIKAWA AND MANN ITERATIVE PROCESSES WITH ERROR FOR Φ-PSEUDO CONTRACTIVE TYPE MAPPINGS. Applied Mathematics and Mechanics (English Edition), 2000, 21(1): 1-12.

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