通过高效迭代方案逼近铃木广义非展开映射的定点及其应用

IF 0.7 Q2 MATHEMATICS

Tamkang Journal of Mathematics Pub Date : 2024-03-29 DOI:10.5556/j.tkjm.56.2025.5261

Pragati Gautam, Chanpreet Kaur

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引用次数: 0

摘要

本文旨在证明一种名为"$PC^*$-迭代方案 "的更快迭代方案在均匀凸巴纳赫空间中逼近铃木广义非展开映射类定点的效率。我们将证明一些弱收敛和强收敛结果。数值证明了$PC^*$迭代方案的收敛速度快于许多其他显著的迭代方案。我们还将通过图解提供数值说明，以证明$PC^*$迭代方案的效率。作为一个应用，我们使用$PC^*$迭代方案求得了分数微分方程的解。

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Approximating the fixed points of Suzuki's generalized non-expansive map via an efficient iterative scheme with an application

This paper is aimed at proving the efficiency of a faster iterative scheme called $PC^*$-iterative scheme to approximate the fixed points for the class of Suzuki's Generalized non-expansive mapping in a uniformly convex Banach space. We will prove some weak and strong convergence results. It is justified numerically that the $PC^*$-iterative scheme converges faster than many other remarkable iterative schemes. We will also provide numerical illustrations with graphical representations to prove the efficiency of $PC^*$ iterative scheme. As an application of the solution of a fractional differential equation is obtained by using $PC^*$ iterative scheme.

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来源期刊

Tamkang Journal of Mathematics MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

期刊介绍： To promote research interactions between local and overseas researchers, the Department has been publishing an international mathematics journal, the Tamkang Journal of Mathematics. The journal started as a biannual journal in 1970 and is devoted to high-quality original research papers in pure and applied mathematics. In 1985 it has become a quarterly journal. The four issues are out for distribution at the end of March, June, September and December. The articles published in Tamkang Journal of Mathematics cover diverse mathematical disciplines. Submission of papers comes from all over the world. All articles are subjected to peer review from an international pool of referees.