Banach空间中有限族多值非扩张映射的公共吸引点定理

Q1 Mathematics Results in Nonlinear Analysis Pub Date : 2022-09-30 DOI:10.53006/rna.1128729

A. Wiriyapongsanon, W. Inthakon, N. Phudolsitthiphat

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引用次数: 0

摘要

本文的主要目的是引入修正的Mann和Ishikawaites算子，在一致凸Banach空间中寻找有限族多值非扩张映射的公共吸引点。我们得到了保证所提出的算法在不存在此类映射的域的封闭性的情况下具有强收敛性的充要条件。此外，我们还从我们的主结果导出了这种映射的不动点结果的一些结果。最后，给出了数值结果来支持我们的主要定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Common Attractive Point Theorems for a Finite Family of Multivalued Nonexpansive Mappings in Banach Spaces

OurmainpurposeofthispaperistointroducethemodifiedMannandIshikawaiteratesforfindingacommonattractivepoint of a finite family of multivalued nonexpansive mappings in the setting of uniformly convex Banach spaces. Weobtain necessary and sufficient conditions to guarantee the strong convergence of the proposed algorithms withoutclosedness of the domain of such mappings. Moreover, we derive some consequences from our main result to fixedpoint result of such mappings. Finally, the numerical results are provided to support our main theorem.

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