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, Vol. 21 ›› Issue (1): 1-12.

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

张石生

Department of Mathematics, Sichuan University, Chengdu 610064, P R China

收稿日期:1998-08-07 修回日期:1999-06-09 出版日期:2000-01-18 发布日期:2000-01-18
基金资助:
the National Natural Science Foundation of China(19971058)

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

Zhang Shisheng

Department of Mathematics, Sichuan University, Chengdu 610064, P R China

Received:1998-08-07 Revised:1999-06-09 Online:2000-01-18 Published:2000-01-18
Supported by:
the National Natural Science Foundation of China(19971058)

摘要/Abstract

摘要： 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.

关键词: 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

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

中图分类号:

O177.91

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

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

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

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

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