拟压缩映射的分裂变分包含问题和不动点问题的一般迭代算法

IF 1.1 Q1 MATHEMATICS

Journal of Nonlinear Functional Analysis Pub Date : 2022-01-01 DOI:10.23952/jnfa.2022.13

Jong Soo, Jung

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引用次数: 3

摘要

．本文介绍了一种基于混合最陡下降法的求分裂变分包含问题解集和连续伪压缩映射不动点集的公共元素的一般迭代算法。在Hilbert空间中证明了所提迭代算法的强收敛性。我们也找到了两个集合的公共集合中的最小范数元素。

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 general iterative algorithm for split variational inclusion problems and fixed point problems of a pseudocontractive mapping

. In this paper, we introduce a general iterative algorithm based on the hybrid steepest descent method for ﬁnding a common element of the solution set of split variational inclusion problems and the ﬁxed point set of a continuous pseudocontractive mapping. We establish strong convergence of the proposed iterative algorithm in a Hilbert space. We also ﬁnd the minimum-norm element in the common set of two sets.

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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.