拟$ φ $-非扩张映射迭代的强收敛性及其在Banach空间中的应用

Q4 Mathematics Communications in Mathematical Analysis Pub Date : 2020-07-01 DOI:10.22130/SCMA.2019.115400.687

Rasoul Jahed, H. Vaezi, H. Piri

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引用次数: 1

摘要

本文研究了拟$ φ $-非扩张映射的迭代及其在Banach空间中的应用。首先证明了由混合近点法生成的序列对一类拟$ φ $-非扩张映射的公共不动点的强收敛性。然后，我们给出了我们的主要结果在平衡问题中的应用。

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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Strong Convergence of the Iterations of Quasi $phi$-nonexpansive Mappings and its Applications in Banach Spaces

In this paper, we study the iterations of quasi $phi$-nonexpansive mappings and its applications in Banach spaces. At the first, we prove strong convergence of the sequence generated by the hybrid proximal point method to a common fixed point of a family of quasi $phi$-nonexpansive mappings. Then, we give applications of our main results in equilibrium problems.

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Communications in Mathematical Analysis Mathematics-Applied Mathematics

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