Inertial algorithm for solving split inclusion problem in Banach spaces

被引：0
|
作者：
Kumar, Ajay [1 ]
Tamrakar, Ekta [1 ]
机构：
[1] Pt Ravishankar Shukla Univ, Sch Studies Math, Raipur 492010, CG, India
来源：
CUBO-A MATHEMATICAL JOURNAL | 2023年 / 25卷 / 01期
关键词：
and Phrases; Strong convergence; split feasibility problem; uniformly convex; uniformly smooth; fixed point problem; RELATIVELY NONEXPANSIVE-MAPPINGS; NULL POINT PROBLEM; VARIATIONAL INCLUSION; ITERATIVE METHOD; FIXED-POINTS; FEASIBILITY PROBLEMS; CONVERGENCE ANALYSIS; PRIOR KNOWLEDGE; APPROXIMATION; INEQUALITIES;
D O I：
10.56754/0719-0646.2501.067
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to propose an algorithm for find-ing a common element of the set of fixed points of relatively nonexpansive mapping and the set of solutions of split in-clusion problem with a way of selecting the stepsize without prior knowledge of the operator norm in the framework of Banach spaces. Then, the main result is used to the common fixed point problems of a family of relatively nonexpansive mappings and split equilibrium problem. Finally, a numeri-cal example is provided to illustrate the main result.
引用
收藏
页码：67 / 88
页数：22
相关论文
共 50 条
  • [21] On Solving the Split Feasibility Problem and the Fixed Point Problem in Banach Spaces
    Cholamjiak, Prasit
    Sunthrayuth, Pongsakorn
    THAI JOURNAL OF MATHEMATICS, 2018, 16 : 234 - 251
  • [22] Inertial relaxedCQalgorithms for solving a split feasibility problem in Hilbert spaces
    Sahu, D. R.
    Cho, Y. J.
    Dong, Q. L.
    Kashyap, M. R.
    Li, X. H.
    NUMERICAL ALGORITHMS, 2021, 87 (03) : 1075 - 1095
  • [23] Iterative solution of split variational inclusion problem in a real Banach spaces
    Ogbuisi F.U.
    Mewomo O.T.
    Afrika Matematika, 2017, 28 (1-2) : 295 - 309
  • [24] AN INERTIAL ITERATIVE METHOD FOR SOLVING SPLIT MONOTONE INCLUSION PROBLEMS IN HILBERT SPACES
    Mebawondu, Akindele Adebayo
    Sunday, Akunna Sunsan
    Narain, Ojen Kumar
    Maharaj, Adhir
    NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2024,
  • [25] A HYBRID PROJECTION ALGORITHM FOR A SPLIT EQUALITY PROBLEM IN BANACH SPACES
    Ma, Z. L.
    Wang, L.
    Zou, S. F.
    Sun, X.
    JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2021, 2021
  • [26] Alternated multi-step inertial iterative algorithm for solving the split feasibility problem in Hilbert spaces
    School of Mathematics and Statistics, Xidian University, Shaanxi, Xi’an
    710126, China
    不详
    712000, China
    Comput. Appl. Math., 2025, 44 (01):
  • [27] An inertial algorithm for approximating solutions of split feasibility problems in real banach spaces
    Ezeora J.N.
    Ogbonna R.C.
    Applied Set-Valued Analysis and Optimization, 2021, 3 (01): : 117 - 131
  • [28] New inertial modification of regularized algorithms for solving split variational inclusion problem
    Phairatchatniyom, Pawicha
    Kumam, Poom
    Martinez-Moreno, Juan
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2024, 438
  • [29] Iterative Methods for Solving the Monotone Inclusion Problem and the Fixed Point Problem in Banach Spaces
    Cholamjiak, Prasit
    Sunthrayuth, Pongsakorn
    Singta, Akarate
    Muangchoo, Kanikar
    THAI JOURNAL OF MATHEMATICS, 2020, 18 (03): : 1225 - 1246
  • [30] Halpern inertial subgradient extragradient algorithm for solving equilibrium problems in Banach spaces
    Abass, H. A.
    APPLICABLE ANALYSIS, 2024,
12345