复值凸度量空间中的不动点定理

Q3 Mathematics Nonlinear Functional Analysis and Applications Pub Date : 2021-02-23 DOI:10.22771/NFAA.2021.26.01.09

G. A. Okeke, S. H. Khan, J. K. Kim

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引用次数: 0

摘要

本文的目的是引入复值凸度量空间的概念，并引入最近由Okeke[24]提出的Picard-Ishikawa混合迭代格式的一种模拟。我们利用这两个新概念近似了某些压缩条件的(公)不动点，并得到了若干推论。证明了在复值凸度量空间中，Picard-Ishikawa混合迭代格式[24]比Mann、Ishikawa和Noor[23]迭代格式收敛速度更快。最后给出了一些数值算例来验证我们的结果。

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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FIXED POINT THEOREMS IN COMPLEX VALUED CONVEX METRIC SPACES

Our purpose in this paper is to introduce the concept of complex valued convex metric spaces and introduce an analogue of the Picard-Ishikawa hybrid iterative scheme, recently proposed by Okeke [24] in this new setting. We approximate (common) fixed points of certain contractive conditions through these two new concepts and obtain several corollaries. We prove that the Picard-Ishikawa hybrid iterative scheme [24] converges faster than all of Mann, Ishikawa and Noor [23] iterative schemes in complex valued convex metric spaces. Also, we give some numerical examples to validate our results.

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来源期刊

Nonlinear Functional Analysis and Applications Mathematics-Analysis

CiteScore

1.90

自引率

0.00%

发文量

期刊介绍： The international mathematical journal NFAA will publish carefully selected original research papers on nonlinear functional analysis and applications, that is, ordinary differential equations, all kinds of partial differential equations, functional differential equations, integrodifferential equations, control theory, approximation theory, optimal control, optimization theory, numerical analysis, variational inequality, asymptotic behavior, fixed point theory, dynamic systems and complementarity problems. Papers for publication will be communicated and recommended by the members of the Editorial Board.