Strong Convergence on the Split Feasibility Problem by Mixing <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi>W</mi> </math>-Mapping

Fugen Gao, Xiaoxiao Liu, Xiaochun Li

Type: Article

Publication Date: 2021-05-27

Citations: 3

DOI: https://doi.org/10.1155/2021/9924937

Abstract

In this paper, we concern with the split feasibility problem (SFP) in real Hilbert space whenever the sets involved are nonempty, closed, and convex. By mixing <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" id="M2"> <a:mi>W</a:mi> </a:math> -mapping with the viscosity, we introduce a new iterative algorithm for solving the split feasibility problem, and we prove that our proposed algorithm is convergent strongly to a solution of the split feasibility problem.

Locations

Journal of Mathematics - View - PDF
DOAJ (DOAJ: Directory of Open Access Journals) - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Strong convergence theorems for a class of split feasibility problems and fixed point problem in Hilbert spaces	2018	Jinhua Zhu Jinfang Tang Shih-sen Chang
+ PDF Chat	A Viscosity Approximation Method for the Split Feasibility Problems in Hilbert Space	2017	Yang Li
+ PDF Chat	Multiple-Set Split Feasibility Problems for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi mathvariant="bold-italic">κ</mml:mi></mml:mrow></mml:math>-Strictly Pseudononspreading Mapping in Hilbert Spaces	2013	Jing Quan Shih-sen Chang Xiang Zhang
+ PDF Chat	Viscosity iteration methods for a split feasibility problem and a mixed equilibrium problem in a Hilbert space	2012	Bin-Chao Deng Tong Chen Qiao‐Li Dong
+ PDF Chat	Strong convergence for generalized multiple-set split feasibility problem	2016	Abdul Latif Javad Vahidi Mohammad Eslamian
+	Viscosity Approximation Methods for a Class of Generalized Split Feasibility Problems with Variational Inequalities in Hilbert Space	2019	Ming Tian Bingnan Jiang
+ PDF Chat	Iterative algorithms based on the hybrid steepest descent method for the split feasibility problem	2016	Jong Soo Jung
+	Strong convergence result of split feasibility problems in Banach spaces	2017	Yekini Shehu
+ PDF Chat	Gradient projection method with a new step size for the split feasibility problem	2018	Pattanapong Tianchai
+ PDF Chat	Relaxed and hybrid viscosity methods for general system of variational inequalities with split feasibility problem constraint	2013	Lu-Chuan Ceng Jen‐Chih Yao
+ PDF Chat	Self adaptive inertial relaxed $ CQ $ algorithms for solving split feasibility problem with multiple output sets	2021	Guash Haile Taddele Poom Kumam Habib ur Rehman Anteneh Getachew Gebrie
+ PDF Chat	Viscosity approximation of solutions of a split feasibility problem in Hilbert spaces	2017	Yantao Yang Yunpeng Zhang
+	A new self-adaptive inertial algorithm with $ W $-mapping for solving split feasibility problem in Banach spaces	2022	Meiying Wang Luoyi Shi
+	Strong Convergence for the Split Feasibility Problem in Real Hilbert Space	2013	Lawan Bulama Mohammed Abba Auwalu Afis Saliu
+ PDF Chat	An Inertial Iterative Algorithm with Strong Convergence for Solving Modified Split Feasibility Problem in Banach Spaces	2021	Huijuan Jia Shufen Liu Yazheng Dang
+	Strong convergence of two algorithms for the split feasibility problem in Banach spaces	2018	Fenghui Wang
+	Two Strongly Convergent CQ Algorithms for Split Feasibility Problem	2015	Dang Ya-zhen
+ PDF Chat	An Inertial Generalized Viscosity Approximation Method for Solving Multiple-Sets Split Feasibility Problems and Common Fixed Point of Strictly Pseudo-Nonspreading Mappings	2020	Hammed Anuoluwapo Abass Lateef Olakunle Jolaoso
+	Inertial relaxed CQ algorithm for split feasibility problems with non-Lipschitz gradient operators	2021	Xiaojun Ma Hongwei Liu
+ PDF Chat	The modified inertial relaxed CQ algorithm for solving the split feasibility problems	2018	Suthep Suantai Nattawut Pholasa Prasit Cholamjiak

Works That Cite This (2)

Action	Title	Year	Authors
+ PDF Chat	An Efficient Iterative Algorithm for Solving the Split Feasibility Problem in Hilbert Spaces Applicable in Image Deblurring, Signal Recovering, and Polynomiography	2023	Lanchakorn Kittiratanawasin Damrongsak Yambangwai Chonjaroen Chairatsiripong Tanakit Thianwan
+	A new self-adaptive inertial algorithm with $ W $-mapping for solving split feasibility problem in Banach spaces	2022	Meiying Wang Luoyi Shi

Works Cited by This (15)

Action	Title	Year	Authors
+ PDF Chat	Iterative approximation of solutions for proximal split feasibility problems	2015	Yekini Shehu Gang Cai Olaniyi S. Iyiola
+ PDF Chat	Extra-gradient methods for solving split feasibility and fixed point problems	2015	Jinzuo Chen Lu-Chuan Ceng Yang-Qing Qiu Zhao-Rong Kong
+	A multiprojection algorithm using Bregman projections in a product space	1994	Yair Censor Tommy Elfving
+	Solving the split feasibility problem without prior knowledge of matrix norms	2012	Genaro López-Acedo Victoria Martín-Márquez Fenghui Wang Hong–Kun Xu
+ PDF Chat	Approximating Curve and Strong Convergence of the CQ Algorithm for the Split Feasibility Problem	2010	Fenghui Wang Hong–Kun Xu
+	Solving proximal split feasibility problems without prior knowledge of operator norms	2013	Abdellatif Moudafi Balwant Singh Thakur
+	A relaxed alternating CQ-algorithm for convex feasibility problems	2012	Abdellatif Moudafi
+	Convergence analysis for proximal split feasibility problems and fixed point problems	2014	Yekini Shehu Ferdinard U. Ogbuisi
+	Iterative Algorithms for Nonlinear Operators	2002	Hong–Kun Xu
+	Iterative oblique projection onto convex sets and the split feasibility problem	2002	Charles L. Byrne