Hadamard空间中单调向量场包含和最小化问题的收敛性定理

IF 0.9 3区 数学 Q2 MATHEMATICS
S. Salisu, P. Kumam, Songpon Sriwongsa
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引用次数: 1

摘要

本文分析了两种方案:Mann型和粘性型近点算法。利用这些格式,我们建立了在Hadamard空间中寻找单调向量场包含问题的公共解、最小化问题和多值半压缩映射的公共不动点的Δ-收敛性和强收敛性定理。我们应用我们的结果来寻找概率的均值和中值,最小化可测量映射的能量,并解决机器人运动控制中的运动学问题。我们还包括了一个数值例子来说明这些方案的适用性。我们的发现证实了最近的一些发现。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Convergence theorems for monotone vector field inclusions and minimization problems in Hadamard spaces
Abstract This article analyses two schemes: Mann-type and viscosity-type proximal point algorithms. Using these schemes, we establish Δ-convergence and strong convergence theorems for finding a common solution of monotone vector field inclusion problems, a minimization problem, and a common fixed point of multivalued demicontractive mappings in Hadamard spaces. We apply our results to find mean and median values of probabilities, minimize energy of measurable mappings, and solve a kinematic problem in robotic motion control. We also include a numerical example to show the applicability of the schemes. Our findings corroborate some recent findings.
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来源期刊
Analysis and Geometry in Metric Spaces
Analysis and Geometry in Metric Spaces Mathematics-Geometry and Topology
CiteScore
1.80
自引率
0.00%
发文量
8
审稿时长
16 weeks
期刊介绍: Analysis and Geometry in Metric Spaces is an open access electronic journal that publishes cutting-edge research on analytical and geometrical problems in metric spaces and applications. We strive to present a forum where all aspects of these problems can be discussed. AGMS is devoted to the publication of results on these and related topics: Geometric inequalities in metric spaces, Geometric measure theory and variational problems in metric spaces, Analytic and geometric problems in metric measure spaces, probability spaces, and manifolds with density, Analytic and geometric problems in sub-riemannian manifolds, Carnot groups, and pseudo-hermitian manifolds. Geometric control theory, Curvature in metric and length spaces, Geometric group theory, Harmonic Analysis. Potential theory, Mass transportation problems, Quasiconformal and quasiregular mappings. Quasiconformal geometry, PDEs associated to analytic and geometric problems in metric spaces.
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