Solving nonlinear φ-strongly accretive operator equations by a one-step-two-mappings iterative scheme

被引：1

作者：

Khan, Safeer Hussain ^{[1
]}

Gunduz, Birol ^{[2
]}

Akbulut, Sezgin ^{[3
]}

机构：

[1] Qatar Univ, Dept Math Stat & Phys, Doha 2713, Qatar

[2] Erzincan Univ, Fac Sci & Art, Dept Math, TR-24000 Erzincan, Turkey

[3] Ataturk Univ, Dept Math, Fac Sci, TR-25240 Erzurum, Turkey

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2015年 / 8卷 / 05期

关键词：

One-step-two-mappings iterative scheme; phi-strongly accretive operator; phi-hemicontractive operator; APPROXIMATION;

D O I：

10.22436/jnsa.008.05.33

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A solution of nonlinear phi-strongly accretive operator equations is found in this paper by using a one-step-two-mappings iterative scheme in arbitrary real Banach spaces. We give an example to validate our main theorem. Our results are different from those of Khan et. al., [S. H. Khan, A. Rafiq, N. Hussain, Fixed Point Theory Appl., 2012 (2012), 10 pages] in view of different and independent iterative schemes in the sense that none reduces to the other but extend and improve the results of Ding [X. P. Ding, Computers Math. Appl., 33 (1997), 75-82] and many others. (C) 2015 All rights reserved.

引用

页码：837 / 846

页数：10

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