一种新的放松投影及其应用

IF 1.1 Q1 MATHEMATICS Journal of Nonlinear Functional Analysis Pub Date : 2021-01-01 DOI:10.23952/jnfa.2021.19

Q. Dong, KE S.H., HE S., X. Qin

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引用次数: 0

摘要

本文在凸函数的水平集上引入了一种新的松弛投影。我们提出了一种新的松弛投影方法，将所提出的松弛投影应用于解决分裂可行性问题和分裂等式问题。建立了松弛投影法的弱收敛性。给出了一个初步的数值实验来支持新的松弛投影。

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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A new relaxed projection and its applications

In this paper, we introduce a new relaxed projection onto the level sets of the convex functions. We propose new relaxed projection methods by applying the proposed relaxed projection to solve split feasibility problems and split equality problems. The weak convergence of the relaxed projection methods is established. A preliminary numerical experiment is presented to support the new relaxed projection.

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来源期刊

Journal of Nonlinear Functional Analysis Multiple-

CiteScore

2.40

自引率

0.00%

发文量

期刊介绍： Journal of Nonlinear Functional Analysis focuses on important developments in nonlinear functional analysis and its applications with a particular emphasis on topics include, but are not limited to: Approximation theory; Asymptotic behavior; Banach space geometric constant and its applications; Complementarity problems; Control theory; Dynamic systems; Fixed point theory and methods of computing fixed points; Fluid dynamics; Functional differential equations; Iteration theory, iterative and composite equations; Mathematical biology and ecology; Miscellaneous applications of nonlinear analysis; Multilinear algebra and tensor computation; Nonlinear eigenvalue problems and nonlinear spectral theory; Nonsmooth analysis, variational analysis, convex analysis and their applications; Numerical analysis; Optimal control; Optimization theory; Ordinary differential equations; Partial differential equations; Positive operator inequality and its applications in operator equation spectrum theory and so forth; Semidefinite programming polynomial optimization; Variational and other types of inequalities involving nonlinear mappings; Variational inequalities.