Banach空间中富广义非扩张映射不动点逼近的Krasnoselskii迭代过程

IF 1 Q1 MATHEMATICS Carpathian Mathematical Publications Pub Date : 2022-06-07 DOI:10.15330/cmp.14.1.86-94

E. Şimşek, I. Yildirim

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引用次数: 0

摘要

考虑一类富广义非扩张映射，包括富Kannan映射、非扩张富Chatterjea映射和富映射。利用Krasnoselskii迭代过程证明了Banach空间中富广义非扩张映射的不动点定理。在适当的条件下，给出了这种映射的稳定性结果。本文的研究结果改进和扩展了文献中的一些研究成果。

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Krasnoselskii iteration process for approximating fixed points of enriched generalized nonexpansive mappings in Banach spaces

We consider the class of enriched generalized nonexpansive mappings which includes enriched Kannan mappings, nonexpansive enriched Chatterjea mappings and enriched mappings. We prove some fixed point theorems for enriched generalized nonexpansive mappings using Krasnoselskii iteration process in Banach spaces. We also give stability result for such mappings under some appropriate conditions. The results presented in this paper improve and extend some works in literature.

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