p-一致凸度量空间中具有一定条件的算子的不动点定理

IF 1.4 4区数学 Q2 MATHEMATICS, APPLIED

Numerical Functional Analysis and Optimization Pub Date : 2022-11-04 DOI:10.1080/01630563.2022.2141256

Mohammad Knefati, V. Karakaya

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引用次数: 0

摘要

摘要本文首先将非线性Lebesgue空间从Hadamard空间的设置推广到p-一致凸度量空间的设置。然后，在p-一致凸度量空间中，我们建立了最近引入的一类广义非扩张映射的Δ-收敛性和强收敛性定理。此外，我们使用新引入的JK迭代过程来近似这类的不动点。最后，我们在p-一致凸度量空间中构造了这类映射的新例子。

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Fixed Point Theorems for Operators with Certain Condition in p-Uniformly Convex Metric Spaces

Abstract In this paper, firstly, we extend the nonlinear Lebesgue spaces from the setting of Hadamard spaces to the setting of p-uniformly convex metric spaces. Afterward, we establish some Δ-convergence and strong convergence theorems for a recently introduced class of generalized nonexpansive mappings in the setting of p-uniformly convex metric spaces. Furthermore, we employ the newly introduced JK-iteration process to approximate the fixed points of this class. Finally, we construct new examples of this class of mappings in the context of p-uniformly convex metric spaces.

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来源期刊

Numerical Functional Analysis and Optimization 数学-应用数学

CiteScore

2.40

自引率

8.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Numerical Functional Analysis and Optimization is a journal aimed at development and applications of functional analysis and operator-theoretic methods in numerical analysis, optimization and approximation theory, control theory, signal and image processing, inverse and ill-posed problems, applied and computational harmonic analysis, operator equations, and nonlinear functional analysis. Not all high-quality papers within the union of these fields are within the scope of NFAO. Generalizations and abstractions that significantly advance their fields and reinforce the concrete by providing new insight and important results for problems arising from applications are welcome. On the other hand, technical generalizations for their own sake with window dressing about applications, or variants of known results and algorithms, are not suitable for this journal. Numerical Functional Analysis and Optimization publishes about 70 papers per year. It is our current policy to limit consideration to one submitted paper by any author/co-author per two consecutive years. Exception will be made for seminal papers.