The Fixed Point Property of Strong Pseudocontraction Mapping

The Fixed Point Property of Strong Pseudocontraction Mapping

In this paper, the iterative methods of fixed point of strong pseudocontraction mappings and accretive operators are studied in Banach spaces. A new threestep Ishikawa iteration is given. It is proved that the iterative scheme sequence convergent to the fixed point of strong pseudocontraction mappin...

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Bibliographic Details
Main Authors: CUI Yunan, ZHU Peng, WANG Ping
Format: Article
Language:zho
Published: Harbin University of Science and Technology Publications 2020-08-01
Series:Journal of Harbin University of Science and Technology
Subjects:
strong pseudo contraction mapping
fixed point property
ishikawa iteration
accretive operator
Online Access:https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1856
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Summary:In this paper, the iterative methods of fixed point of strong pseudocontraction mappings and accretive operators are studied in Banach spaces. A new threestep Ishikawa iteration is given. It is proved that the iterative scheme sequence convergent to the fixed point of strong pseudocontraction mapping or accretive operators. Meanwhile, the result mentioned above is extended to n steps of Ishikawa iteration for strong pseudocontraction mappings and accretive operators.
ISSN:1007-2683

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