Some variant of Tseng splitting method with accelerated Visco-Cesaro means for monotone inclusion problems

被引：0

作者：

Arfat, Yasir ^{[1
]}

Phiangsungnoen, Supak ^{[2
,3
]}

Kumam, Poom ^{[1
,4
]}

Khan, Muhammad Aqeel Ahmad ^{[5
]}

Ahmad, Jamshad ^{[6
]}

机构：

[1] King Mongkuts Univ Technol Thonburi KMUTT, Fac Sci, Dept Math, KMUTT Fixed Point Res Lab,KMUTT Fixed Point Theory, 126 Pracha Uthit Rd,Bang Mod,Thung Khru, Bangkok 10140, Thailand

[2] Rajamangala Univ Technol Rattanakosin, Fac Liberal Arts, Dept Gen Educ Math, 264 Chakkrawat Rd,Chakkrawat,Samphanthawong, Bangkok, Thailand

[3] Rajamangala Univ Technol Rattanakosin, Inst Res & Dev, 96 Phutthamonthon Sai 5 Rd,Salaya,Phutthamonthon D, Nakhon Pathom 73170, Thailand

[4] King Mongkuts Univ Technol Thonburi KMUTT, Ctr Excellence Theoret & Computat Sci TaCS CoE, SCL Fixed Point Lab 802, Sci Lab Bldg,126 Pracha Uthit Rd,Bang Mod, Bangkok 10140, Thailand

[5] Islamia Univ Bahawalpur, Dept Math, Bahawalpur 63100, Pakistan

[6] Univ Gujrat, Fac Sci, Dept Math, Gujrat 50700, Pakistan

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 10期

关键词：

monotone inclusion problem; forward-backward-forward method; viscosity method; Cesaro means method; Nesterov's accelerated method; SHRINKING PROJECTION METHOD; APPROXIMATION METHODS; FIXED-POINTS; CONVERGENCE; OPERATORS; CONTRACTIONS; ALGORITHMS; MAPPINGS; SUM;

D O I：

10.3934/math.20231254

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we examine the convergence analysis of a variant of Tseng's splitting method for monotone inclusion problem and fixed point problem associated with an infinite family of ?- demimetric mappings in Hilbert spaces. The qualitative results of the proposed variant shows strong convergence characteristics under a suitable set of control conditions. We also provide a numerical example to demonstrate the applicability of the variant with some applications.

引用

页码：24590 / 24608

页数：19

共 14 条

[1] An accelerated Visco-Cesaro means Tseng Type splitting method for fixed point and monotone inclusion problems
Arfat, Yasir
Kumam, Poom
Khan, Muhammad Aqeel Ahmad
Ngiamsunthorn, Parinya Sa
CARPATHIAN JOURNAL OF MATHEMATICS, 2022, 38 (02) : 281 - 297
[2] A Modified Tseng Splitting Method with Double Inertial Steps for Solving Monotone Inclusion Problems
Zhong-bao Wang
Zhen-yin Lei
Xin Long
Zhang-you Chen
Journal of Scientific Computing, 2023, 96
[3] AModified Tseng Splitting Method with Double Inertial Steps for Solving Monotone Inclusion Problems
Wang, Zhong-bao
Lei, Zhen-yin
Long, Xin
Chen, Zhang-you
JOURNAL OF SCIENTIFIC COMPUTING, 2023, 96 (03)
[4] New accelerated splitting algorithm for monotone inclusion problems
Jolaoso, Lateef O.
Shehu, Yekini
Xu, Hong-Kun
OPTIMIZATION, 2025, 74 (03) : 781 - 810
[5] Inexact Operator Splitting Method for Monotone Inclusion Problems
Huang, Yuan-Yuan
Liu, Chang-He
Shang, You-Lin
JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF CHINA, 2021, 9 (02) : 273 - 306
[6] Inexact Operator Splitting Method for Monotone Inclusion Problems
Yuan-Yuan Huang
Chang-He Liu
You-Lin Shang
Journal of the Operations Research Society of China, 2021, 9 : 273 - 306
[7] Relaxed Tseng splitting method with double inertial steps for solving monotone inclusions and fixed point problems
Ofem, Austine Efut
Mebawondu, Akindele Adebayo
Ugwunnadi, Godwin Chidi
Cholamjiak, Prasit
Narain, Ojen Kumar
NUMERICAL ALGORITHMS, 2024, 96 (04) : 1465 - 1498
[8] ACCELERATED PROJECTION-BASED FORWARD-BACKWARD SPLITTING ALGORITHMS FOR MONOTONE INCLUSION PROBLEMS
Tan, Bing
Zhou, Zheng
Qin, Xiaolong
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2020, 10 (05): : 2184 - 2197
[9] A parallel Tseng's splitting method for solving common variational inclusion applied to signal recovery problems
Suparatulatorn, Raweerote
Cholamjiak, Watcharaporn
Gibali, Aviv
Mouktonglang, Thanasak
ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
[10] A parallel Tseng’s splitting method for solving common variational inclusion applied to signal recovery problems
Raweerote Suparatulatorn
Watcharaporn Cholamjiak
Aviv Gibali
Thanasak Mouktonglang
Advances in Difference Equations, 2021

← 1 2 →