ON APPROXIMATION METHODS FOR SOLUTIONS OF SPLIT FIXED POINTS AND VARIATIONAL INCLUSION PROBLEMS

被引：0

作者：

Zhang, Li ^{[1
]}

机构：

[1] Tianjin Univ Commerce, Sch Sci, Tianjin 300134, Peoples R China

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2024年 / 25卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Split problem; monotone mapping; pseudocontractive mapping; fixed point; variational inclusion; ITERATIVE ALGORITHMS; STRONG-CONVERGENCE; GRADIENT-METHOD; MONOTONE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we devote to find a solution of a split fixed point and variational inclusion problem in Hilbert spaces. Based on resolvent technique, fixed point method and self-adaptive rule, we present a new algorithm for solving the studied split problem. Under some mild assumptions, we prove the introduced algorithm converges strongly to some special solution of the split problem.

引用

页码：567 / 578

页数：12

共 23 条

[1] A weak-to-strong convergence principle for Fejer-monotone methods in Hilbert spaces [J].

Bauschke, HH ;

Combettes, PL .

MATHEMATICS OF OPERATIONS RESEARCH, 2001, 26 (02) :248-264

[2] A unified treatment of some iterative algorithms in signal processing and image reconstruction [J].

Byrne, C .

INVERSE PROBLEMS, 2004, 20 (01) :103-120

[3]

Censor Y, 2009, J CONVEX ANAL, V16, P587

[4] A unified approach for inversion problems in intensity-modulated radiation therapy [J].

Censor, Yair ;

Bortfeld, Thomas ;

Martin, Benjamin ;

Trofimov, Alexei .

PHYSICS IN MEDICINE AND BIOLOGY, 2006, 51 (10) :2353-2365

[5]

Dong QL, 2021, J NONLINEAR CONVEX A, V22, P53

[6] H-monotone operator and resolvent operator technique for variational inclusions [J].

Fang, YP ;

Huang, NJ .

APPLIED MATHEMATICS AND COMPUTATION, 2003, 145 (2-3) :795-803

[7] A hybrid iterative algorithm for solving monotone variational inclusion and hierarchical fixed point problems [J].

Kazmi, K. R. ;

Ali, Rehan ;

Yousuf, Saleem ;

Shahzad, Mohammad .

CALCOLO, 2019, 56 (04)

[8] Numerical approach to monotone variational inequalities by a one-step projected reflected gradient method with line-search procedure [J].

Mainge, Paul-Emile .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 72 (03) :720-728

[9] Split Monotone Variational Inclusions [J].

Moudafi, A. .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2011, 150 (02) :275-283

[10] The split common fixed-point problem for demicontractive mappings [J].

Moudafi, A. .

INVERSE PROBLEMS, 2010, 26 (05)

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