Two-step inertial adaptive iterative algorithm for solving the split common fixed point problem of directed operators

IF 1.1 Q1 MATHEMATICS

Journal of Nonlinear Functional Analysis Pub Date : 2023-01-01 DOI:10.23952/jnfa.2023.20

引用次数: 0

Abstract

. In this paper, we use the dual variable to propose a two-step inertial adaptive iterative algorithm for solving the split common ﬁxed point problem of directed operators in real Hilbert spaces. Under suitable conditions, we obtain the weak convergence of the proposed algorithm and give applications in the split feasibility problem. A numerical experiment is given to illustrate the efﬁciency of the proposed iterative algorithm.

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求解有向算子分裂共不动点问题的两步惯性自适应迭代算法

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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.