强伪压缩映射上F*算法的研究及其应用

IF 1.9 3区数学 Q1 MATHEMATICS, APPLIED

Axioms Pub Date : 2023-11-08 DOI:10.3390/axioms12111041

Felix D. Ajibade, Francis Monday Nkwuda, Hussaini Joshua, Taiwo P. Fajusigbe, Kayode Oshinubi

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引用次数: 0

摘要

在一致凸Banach空间中，研究了F*迭代算法对强伪压缩映射不动点的强收敛性。此外，我们通过数值方法证明了F*迭代算法比现有文献中的其他迭代算法收敛性强且速度快，并扩展到强伪压缩映射的不动点。最后，在一个非线性二次Volterra积分方程下，给出了本研究结果的应用。

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Investigation of the F* Algorithm on Strong Pseudocontractive Mappings and Its Application

In the context of uniformly convex Banach space, this paper focuses on examining the strong convergence of the F* iterative algorithm to the fixed point of a strongly pseudocontractive mapping. Furthermore, we demonstrate through numerical methods that the F* iterative algorithm converges strongly and faster than other current iterative schemes in the literature and extends to the fixed point of a strong pseudocontractive mapping. Finally, under a nonlinear quadratic Volterra integral equation, the application of our findings is shown.

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来源期刊

Axioms Mathematics-Algebra and Number Theory

自引率

10.00%

发文量

604

审稿时长

11 weeks

期刊介绍： Axiomatic theories in physics and in mathematics (for example, axiomatic theory of thermodynamics, and also either the axiomatic classical set theory or the axiomatic fuzzy set theory) Axiomatization, axiomatic methods, theorems, mathematical proofs Algebraic structures, field theory, group theory, topology, vector spaces Mathematical analysis Mathematical physics Mathematical logic, and non-classical logics, such as fuzzy logic, modal logic, non-monotonic logic. etc. Classical and fuzzy set theories Number theory Systems theory Classical measures, fuzzy measures, representation theory, and probability theory Graph theory Information theory Entropy Symmetry Differential equations and dynamical systems Relativity and quantum theories Mathematical chemistry Automata theory Mathematical problems of artificial intelligence Complex networks from a mathematical viewpoint Reasoning under uncertainty Interdisciplinary applications of mathematical theory.