LINEAR CONVERGENCE OF AN ITERATIVE ALGORITHM FOR SOLVING THE SPLIT EQUALITY MIXED EQUILIBRIUM PROBLEM

被引：0

作者：

Wu, Yujing ^{[1
]}

Sun, Shijie ^{[2
]}

Xu, Tongxin ^{[3
]}

Wang, Meiying ^{[4
]}

Shi, Luoyi ^{[5
]}

机构：

[1] Tianjin Vocat Inst, Tianjin 300410, Peoples R China

[2] Shenyang Pharmaceut Univ, Fac Med Device, Shenyang 110016, Peoples R China

[3] Xidian Univ, Sch Math & Stat, Xian 710126, Peoples R China

[4] Tiangong Univ, Sch Math Sci, Tianjin 300387, Peoples R China

[5] Tiangong Univ, Sch Software, Tianjin 300387, Peoples R China

来源：

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2023年 / 2023卷 / 01期

关键词：

Bounded linearly regularity property; Intensity-modulated radiation therapy; Linear convergence; Numerical results; Split equality mixed equilibrium problem; FIXED-POINT PROBLEMS; FEASIBILITY;

D O I：

10.23952/jnfa.2023.14

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the linear convergence of a projection algorithm for solving the split equality mixed equilibrium problem (SEMEP). We introduce the notion of bounded linear regularity property for the SE-MEP and construct several sufficient conditions to prove its linear convergence. Furthermore, the result of the linear convergence of the SEMEP is applied to split equality equilibrium problems, split equality convex minimization problems, split equality mixed variational inequality problems, and split equality variational inequality problems. Finally, numerical results are provided to verify the effectiveness of our proposed algorithm.

引用

页数：16

共 20 条

[1] Attouch H, 2008, J CONVEX ANAL, V15, P485
[2] Bauschke HH, 2011, CMS BOOKS MATH, P1, DOI 10.1007/978-1-4419-9467-7
[3] Cho SY, 2020, J NONLINEAR CONVEX A, V21, P1017
[4] Generalized mixed equilibrium and fixed point problems in a Banach space
Cho, Sun Young
[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (03): : 1083 - 1092
[5] On the strong convergence of an iterative process for asymptotically strict pseudocontractions and equilibrium problems
Cho, Sun Young
Qin, Xiaolong
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 235 : 430 - 438
[6] Conway JB., 1990, COURSE FUNCTIONAL AN, V2
[7] Convergence theorems for split equality mixed equilibrium problems with applications
Ma, Zhaoli
Wang, Lin
Chang, Shih-sen
Duan, Wen
[J]. FIXED POINT THEORY AND APPLICATIONS, 2015,
[8] Moudafi A, 2014, J NONLINEAR CONVEX A, V15, P809
[9] Split Monotone Variational Inclusions
Moudafi, A.
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2011, 150 (02) : 275 - 283
[10] An Iterative Algorithm Combining Viscosity Method with Parallel Method for a Generalized Equilibrium Problem and Strict Pseudocontractions
Peng, Jian-Wen
Liou, Yeong-Cheng
Yao, Jen-Chih
[J]. FIXED POINT THEORY AND APPLICATIONS, 2009,

← 1 2 →