用不动点结果计算积分方程的解

IF 2 3区数学 Q1 MATHEMATICS

Demonstratio Mathematica Pub Date : 2022-01-01 DOI:10.1515/dema-2022-0172

Manar A. Alqudah, C. Garodia, I. Uddin, Juan J. Nieto

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引用次数: 0

摘要

摘要本文研究了一致凸Banach空间中单调非扩张映射的一种改进迭代格式，并得到了一些收敛结果。得到了弱收敛和强收敛的结果。此外，我们给出了一个非平凡的数值例子来证明我们的迭代方案的收敛性。为了证明我们的格式的实用性，我们讨论了非线性积分方程的解作为一个应用，再次通过一个非平凡的例子来支持。

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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Computation of solution of integral equations via fixed point results

Abstract The motive of this article is to study a modified iteration scheme for monotone nonexpansive mappings in the class of uniformly convex Banach space and establish some convergence results. We obtain weak and strong convergence results. In addition, we present a nontrivial numerical example to show the convergence of our iteration scheme. To demonstrate the utility of our scheme, we discuss the solution of nonlinear integral equations as an application, which is again supported by a nontrivial example.

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来源期刊

Demonstratio Mathematica MATHEMATICS-

CiteScore

2.40

自引率

5.00%

发文量

审稿时长

35 weeks

期刊介绍： Demonstratio Mathematica publishes original and significant research on topics related to functional analysis and approximation theory. Please note that submissions related to other areas of mathematical research will no longer be accepted by the journal. The potential topics include (but are not limited to): -Approximation theory and iteration methods- Fixed point theory and methods of computing fixed points- Functional, ordinary and partial differential equations- Nonsmooth analysis, variational analysis and convex analysis- Optimization theory, variational inequalities and complementarity problems- For more detailed list of the potential topics please refer to Instruction for Authors. The journal considers submissions of different types of articles. "Research Articles" are focused on fundamental theoretical aspects, as well as on significant applications in science, engineering etc. “Rapid Communications” are intended to present information of exceptional novelty and exciting results of significant interest to the readers. “Review articles” and “Commentaries”, which present the existing literature on the specific topic from new perspectives, are welcome as well.