ALGORITHMIC AND ANALYTICAL APPROACHES TO THE SPLIT FEASIBILITY PROBLEMS AND FIXED POINT PROBLEMS

被引：5

作者：

Zhu, Li-Jun ^{[1
]}

Liou, Yeong-Cheng ^{[2
]}

Yao, Yonghong ^{[3
]}

Chyu, Chiuh-Cheng ^{[4
]}

机构：

[1] Beifang Univ Nationalities, Sch Informat & Calculat, Yinchuan 750021, Peoples R China

[2] Cheng Shiu Univ, Dept Informat Management, Kaohsiung 833, Taiwan

[3] Tianjin Polytech Univ, Dept Math, Tianjin 300387, Peoples R China

[4] Yuan Ze Univ, Dept Ind Engn & Management, Chungli 32003, Taiwan

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2013年 / 17卷 / 05期

关键词：

Split feasibility problem; Fixed point; Nonexpansive mapping; Strong convergence; VISCOSITY APPROXIMATION METHODS; GENERAL ITERATIVE METHOD; NONEXPANSIVE-MAPPINGS; HILBERT-SPACES; BANACH-SPACES; EXTRAGRADIENT METHOD; FINITE FAMILY; OPERATORS; CONVERGENCE;

D O I：

10.11650/tjm.17.2013.3175

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The split feasibility problem and fixed point problem is considered. New algorithm is presented for solving this split problem. Some analytical techniques are demonstrated and strong convergence results are obtained.

引用

页码：1839 / 1853

页数：15

共 50 条

[21] An iterative algorithm for solving split feasibility problems and fixed point problems in Banach spaces
Shehu, Y.
Iyiola, O. S.
Enyi, C. D.
[J]. NUMERICAL ALGORITHMS, 2016, 72 (04) : 835 - 864
[22] FURTHER INVESTIGATION INTO APPROXIMATION OF A COMMON SOLUTION OF FIXED POINT PROBLEMS AND SPLIT FEASIBILITY PROBLEMS
Shehu, Y.
Mewomo, O. T.
Ogbuisi, F. U.
[J]. ACTA MATHEMATICA SCIENTIA, 2016, 36 (03) : 913 - 930
[23] A shrinking projection algorithm for proximal split feasibility and fixed point problems
Chen J.
[J]. Applied Set-Valued Analysis and Optimization, 2020, 2 (02): : 255 - 270
[24] A NEW EXTRAGRADIENT METHOD FOR EQUILIBRIUM, SPLIT FEASIBILITY AND FIXED POINT PROBLEMS
Yazdi, Maryam
Sababe, Saeed Hashemi
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021, 22 (04) : 759 - 773
[25] Modified Inertial Algorithms for a Class of Split Feasibility Problems and Fixed Point Problems in Hilbert Spaces
Suwannaprapa, Montira
[J]. SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2022, 19 (04): : 1 - 24
[26] ITERATIVE ALGORITHMS FOR FIXED POINT PROBLEMS OF ASYMPTOTICALLY PSEUDOCONTRACTIVE OPERATORS AND THE PROXIMAL SPLIT FEASIBILITY PROBLEMS
Yao, Zhangsong
Hsun-Chih Kuo
Ching-Feng Wen
[J]. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2021, 83 (04): : 147 - 158
[27] Iterative algorithms for fixed point problems of asymptotically pseudocontractive operators and the proximal split feasibility problems
Yao, Zhangsong
Kuo, Hsun-Chih
Wen, Ching-Feng
[J]. UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2021, 83 (04): : 147 - 158
[28] Approximation of Common Solutions for Proximal Split Feasibility Problems and Fixed Point Problems in Hilbert Spaces
Suanoom, Cholatis
Khuangsatung, Wongvisarut
[J]. THAI JOURNAL OF MATHEMATICS, 2018, 16 : 168 - 183
[29] On split common fixed point problems
Kraikaew, Rapeepan
Saejung, Satit
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 415 (02) : 513 - 524
[30] Convergence analysis of an iterative algorithm for fixed point problems and split feasibility problems in certain Banach spaces
Shehu, Y.
Ogbuisi, F. U.
Iyiola, O. S.
[J]. OPTIMIZATION, 2016, 65 (02) : 299 - 323

← 1 2 3 4 5 →