The convergence of implicit Mann and Ishikawa iterations for weak generalizedφ-hemicontractive mappings in real Banach spaces
✍ Scribed by Zhiqun Xue, Fang Zhang
- Book ID
- 120732703
- Publisher
- Hindawi Publishing Corporation
- Year
- 2013
- Tongue
- English
- Weight
- 188 KB
- Volume
- 2013
- Category
- Article
- ISSN
- 1025-5834
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The purpose of this work is to study the following implicit iteration scheme where T n = T nmodN , and to prove several strongly convergent theorems of the iteration for a finite family of hemicontractive mappings in Banach space. Our results extend a recent result of Haiyun Zhou [Haiyun Zhou, Conv
In this paper, we introduce a new modified Ishikawa iterative process for computing fixed points of an infinite family nonexpansive mapping in the framework of Banach spaces. Then, we establish the strong convergence theorem of the proposed iterative scheme under some mild conditions which solves a