A sufficient and necessary condition for the convergence of the sequence of successive approximations to a unique fixed point II

被引：0

作者：

Tomonari Suzuki

Badriah Alamri

机构：

[1] Kyushu Institute of Technology,Department of Basic Sciences, Faculty of Engineering

[2] King Abdulaziz University,Department of Mathematics, Faculty of Science

来源：

Fixed Point Theory and Applications | / 2015卷

关键词：

Banach contraction principle; Boyd-Wong contraction; contraction; fixed point; successive approximation; 54H25;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Using the concept of a Boyd-Wong contraction, we obtain a simple, sufficient, and necessary condition for the convergence of the sequence of successive approximations to a unique fixed point.

引用

共 50 条

[1] A sufficient and necessary condition for the convergence of the sequence of successive approximations to a unique fixed point II
Suzuki, Tomonari
Alamri, Badriah
[J]. Fixed Point Theory and Applications, 2015,
[2] A sufficient and necessary condition for the convergence of the sequence of successive approximations to a unique fixed point
Suzuki, Tomonari
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 136 (11) : 4089 - 4093
[3] Convergence of the Sequence of Successive Approximations to a Fixed Point
Suzuki, Tomonari
[J]. FIXED POINT THEORY AND APPLICATIONS, 2010,
[4] Convergence of the Sequence of Successive Approximations to a Fixed Point
Tomonari Suzuki
[J]. Fixed Point Theory and Applications, 2010
[5] On sufficient conditions for the convergence of successive approximations
I. A. Soldatenkov
[J]. Mathematical Notes, 1999, 65 : 718 - 722
[6] On sufficient conditions for the convergence of successive approximations
Soldatenkov, IA
[J]. MATHEMATICAL NOTES, 1999, 65 (5-6) : 718 - 722
[7] CONVERGENCE OF SUCCESSIVE-APPROXIMATIONS TO A STOCHASTIC FIXED-POINT
SANGHVI, AP
[J]. JOURNAL OF APPLIED PROBABILITY, 1980, 17 (01) : 297 - 299
[8] The Necessary and Sufficient Condition for the Convergence of a New Fixed Point Approximation Method for Continuous Functions on an Arbitrary Interval
Suwana-adth, W.
[J]. THAI JOURNAL OF MATHEMATICS, 2010, 8 (03): : 627 - 632
[9] NECESSARY AND SUFFICIENT CONDITION FOR CONVERGENCE OF A SEQUENCE OF ITERATES FOR QUASI-NONEXPANSIVE MAPPINGS
PETRYSHY.WV
WILLIAMS.TE
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 78 (06) : 1027 - 1031
[10] Necessary and Sufficient Condition for Mann Iteration Converges to a Fixed Point of Lipschitzian Mappings
Xiang, Chang-He
Zhang, Jiang-Hua
Chen, Zhe
[J]. JOURNAL OF APPLIED MATHEMATICS, 2012,

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