Strong Convergence Analysis of Iterative Algorithms for Solving Variational Inclusions and Fixed-Point Problems of Pseudocontractive Operators

被引：0

作者：

Yao, Zhangsong ^{[1
]}

Wu, Yan-Kuen ^{[2
,3
]}

Wen, Ching-Feng ^{[4
,5
,6
]}

机构：

[1] Nanjing Xiaozhuang Univ, Sch Informat Engn, Nanjing 211171, Peoples R China

[2] Zhejiang Yuexiu Univ Foreign Languages, Coll Int Business, Shaoxin, Zhejiang, Peoples R China

[3] Zhejiang Yuexiu Univ Foreign Languages, Shaoxing Key Lab Intelligent Monitoring & Prevent, Shaoxin, Zhejiang, Peoples R China

[4] Kaohsiung Med Univ, Ctr Fundamental Sci, Kaohsiung 80708, Taiwan

[5] Kaohsiung Med Univ, Res Ctr Nonlinear Anal & Optimizat, Kaohsiung 80708, Taiwan

[6] Kaohsiung Med Univ Hosp, Dept Med Res, Kaohsiung 80708, Taiwan

来源：

JOURNAL OF MATHEMATICS | 2021年 / 2021卷

关键词：

ACCRETIVE-OPERATORS; PROJECTION METHODS; INEQUALITY; SYSTEMS;

D O I：

10.1155/2021/6635026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Iterative methods for solving variational inclusions and fixed-point problems have been considered and investigated by many scholars. In this paper, we use the Halpern-type method for finding a common solution of variational inclusions and fixed-point problems of pseudocontractive operators. We show that the proposed algorithm has strong convergence under some mild conditions.

引用

页数：7

共 50 条

[31] An Iterative Fixed-point Method for Solving Complementarity Problems
Wang Ruopeng
Wu Guomin
Shi Hong
2013 32ND CHINESE CONTROL CONFERENCE (CCC), 2013, : 2571 - 2573
[32] STRONG CONVERGENCE OF INERTIAL MANN ALGORITHMS FOR SOLVING HIERARCHICAL FIXED POINT PROBLEMS
Tan, Bing
Li, Songxiao
JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2020, 4 (03): : 337 - 355
[33] Strong convergence of a modified iterative algorithm for hierarchical fixed point problems and variational inequalities
Wang, Yuanheng
Xu, Wei
FIXED POINT THEORY AND APPLICATIONS, 2013,
[34] Strong convergence of a modified iterative algorithm for hierarchical fixed point problems and variational inequalities
Yuanheng Wang
Wei Xu
Fixed Point Theory and Applications, 2013
[35] Strong Convergence Algorithms of the Split Common Fixed Point Problem for Total Quasi-Asymptotically Pseudocontractive Operators
Wang, Peiyuan
Zhou, Hy
ABSTRACT AND APPLIED ANALYSIS, 2014,
[36] Iterative Methods for Pseudomonotone Variational Inequalities and Fixed-Point Problems
Yonghong Yao
Mihai Postolache
Journal of Optimization Theory and Applications, 2012, 155 : 273 - 287
[37] Strong Convergence Theorems for Variational Inequalities and Fixed Point Problems of Asymptotically Strict Pseudocontractive Mappings in the Intermediate Sense
Ceng, Lu-Chuan
Yao, Jen-Chih
ACTA APPLICANDAE MATHEMATICAE, 2011, 115 (02) : 167 - 191
[38] Strong Convergence Theorems for Variational Inequalities and Fixed Point Problems of Asymptotically Strict Pseudocontractive Mappings in the Intermediate Sense
Lu-Chuan Ceng
Jen-Chih Yao
Acta Applicandae Mathematicae, 2011, 115 : 167 - 191
[39] Iterative Methods for Pseudomonotone Variational Inequalities and Fixed-Point Problems
Yao, Yonghong
Postolache, Mihai
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2012, 155 (01) : 273 - 287
[40] Retraction algorithms for solving variational inequalities, pseudomonotone equilibrium problems, and fixed-point problems in Banach spaces
Jouymandi, Zeynab
Moradlou, Fridoun
NUMERICAL ALGORITHMS, 2018, 78 (04) : 1153 - 1182

← 1 2 3 4 5 →