一种求解自反Banach空间中分裂平衡与不动点问题的次梯度外聚算法

IF 1.1 Q1 MATHEMATICS

Journal of Nonlinear Functional Analysis Pub Date : 2020-01-01 DOI:10.23952/jnfa.2020.37

O. Oyewole, O. Mewomo

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引用次数: 7

摘要

．针对双函数和Bregman拟非扩张映射的分裂可行性问题，提出了一种新的自适应步长迭代算法。在实自反Banach空间的框架下，得到了一个强收敛定理。最后通过一个应用和实例说明了该算法的性能。

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A subgradient extragradient algorithm for solving split equilibrium and fixed point problems in reflexive Banach spaces

. In this paper, a new iterative algorithm with a self-adaptive step size is proposed for split feasibility problem involving bifunctions and Bregman quasi-nonexpansive mappings. A strong convergence theorem is obtained in the framework of real reﬂexive Banach spaces. An application and an example are presented to illustrate the performance of our algorithm.

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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.