求解无限严格伪压缩映射族的平衡、变分包含和不动点问题的惯性算法

IF 1.1 Q1 MATHEMATICS Journal of Nonlinear Functional Analysis Pub Date : 2021-01-01 DOI:10.23952/jnfa.2021.10

M. A. Olona, T. O. Alakoya, .-E. Owolabi, O. Mewomo

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引用次数: 25

摘要

．本文研究了一类严格伪压缩映射无穷族的平衡问题、变分包含问题和不动点问题的公解问题。我们提出了一种结合惯性法和粘度法的迭代算法来逼近上述问题的一般解。在温和条件下，我们证明了Hilbert空间中的一个强定理，并将结果应用于最优化问题。最后，我们给出了一个数值例子来证明我们的算法与文献中其他现有方法的效率

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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Inertial algorithm for solving equilibrium, variational inclusion and fixed point problems for an infinite family of strict pseudocontractive mappings

. In this paper, we study the problem of ﬁnding common solutions of equilibrium problems, variational inclusion problems and ﬁxed point problems for an inﬁnite family of strict pseudocontractive mappings. We propose an iterative algorithm, which combines inertial methods with viscosity methods, for approximating common solutions of the above problems. Under mild conditions, we prove a strong theorem in Hilbert spaces and apply our result to optimization problems. Finally, we present a numerical example to demonstrate the efﬁciency of our algorithm in comparison with other existing methods in the literature

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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.