CONVERGENCE ANALYSIS OF MULTIPLE-SETS SPLIT EQUALITY COMMON FIXED POINT PROBLEM WITH APPLICATIONS

被引：4
作者：
Gupta, Nishu [1 ]
Jolaoso, Lateef Olakunle [2 ,3 ]
Nandal, Ashish [4 ]
Chugh, Renu [5 ]
机构：
[1] Govt Coll, Dept Math, Julana 126101, Jind, India
[2] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, Ga Rankuwa, South Africa
[3] Fed Univ Agr, Dept Math, Abeokuta, Ogun, Nigeria
[4] Govt Coll, Dept Math, Baund Kalan 127025, Charkhi Dadri, India
[5] Maharshi Dayanand Univ, Dept Math, Rohtak 124001, India
来源：
NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION | 2025年 / 15卷 / 02期
关键词：
Split feasibility problem; split equality common fixed point problem; variational inequality problem; demicontractive mappings; quasi-pseudocontractive mappings; VISCOSITY APPROXIMATION METHODS; CONVEX FEASIBILITY; ACCRETIVE-OPERATORS; PRIOR KNOWLEDGE; ALGORITHMS; ZEROS;
D O I：
10.3934/naco.2023012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we suggest a new inertial type parallel iterative algorithm and prove its strong convergence for finding a solution of multiple-sets split equality common fixed point problem for a finite family of demicontractive mappings in real Hilbert spaces. The suggested algorithm does not require prior knowledge of operator norm. We apply our result to study multiple sets split equality common fixed point problem for a finite family of quasipseudocontractive mappings. Further, we also apply our result to solve various split type problems and intensity-modulated radiation therapy. Moreover, we give numerical experiments for supporting our main result and compare it with other existing methods.
引用
收藏
页码：273 / 299
页数：27
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