Shrinking projection method for hierarchical fixed point problems on Hadamard manifolds

被引：0
作者：
Khammahawong, Konrawut [1 ]
机构：
[1] Rajamangala Univ Technol Thanyaburi RMUTT, Fac Sci & Technol, Appl Math Sci & Engn Res Unit AMSERU, Program Appl Stat,Dept Math & Comp Sci, Pathum Thani 12110, Thailand
来源：
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2024年 / 73卷 / 04期
关键词：
Hadamard manifold; Hierarchical fixed point problem; Nonexpansive mapping; Shrinking projection method; VISCOSITY APPROXIMATION METHODS; VARIATIONAL-INEQUALITIES; NONEXPANSIVE-MAPPINGS; ITERATIVE ALGORITHMS; CONVERGENCE; INCLUSION;
D O I：
10.1007/s12215-024-01003-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This study presents a shrinking projection method for approximating solutions of hierarchical fixed point problems on Hadamard manifolds. Given certain assumptions, a sequence generated by the proposed method converges to solutions of hierarchical fixed point problems. To exemplify the numerical behavior of the algorithm, numerical examples are provided.
引用
收藏
页码：1617 / 1635
页数：19
相关论文
共 44 条
[1]   VISCOSITY METHOD WITH A φ-CONTRACTION MAPPING FOR HIERARCHICAL VARIATIONAL INEQUALITIES ON HADAMARD MANIFOLDS [J].
Al-Homidan, Suliman ;
Ansari, Qamrul Hasan ;
Babu, Feeroz ;
Yao, Jen-Chih .
FIXED POINT THEORY, 2020, 21 (02) :561-584
[2]   Iterative Algorithms for System of Variational Inclusions in Hadamard Manifolds [J].
Ansari, Qamrul Hasan ;
Babu, Feeroz ;
Sahu, D. R. .
ACTA MATHEMATICA SCIENTIA, 2022, 42 (04) :1333-1356
[3]  
Ansari QH, 2020, J NONLINEAR CONVEX A, V21, P2299
[4]  
Ansari QH, 2018, J NONLINEAR CONVEX A, V19, P219
[5]   Shrinking approximants for fixed point problem and generalized split null point problem in Hilbert spaces [J].
Arfat, Yasir ;
Kumam, Poom ;
Khan, Muhammad Aqeel Ahmad ;
Ngiamsunthorn, Parinya Sa .
OPTIMIZATION LETTERS, 2022, 16 (06) :1895-1913
[6]   A weak-to-strong convergence principle for Fejer-monotone methods in Hilbert spaces [J].
Bauschke, HH ;
Combettes, PL .
MATHEMATICS OF OPERATIONS RESEARCH, 2001, 26 (02) :248-264
[7]  
Bridson M. R., 1999, Grundlehren Math. Wiss., V319, pxxii+643, DOI [10.1007/978-3-662-12494-9, DOI 10.1007/978-3-662-12494-9]
[8]   Implicit Iterative Method for Hierarchical Variational Inequalities [J].
Ceng, L-C ;
Ansari, Q. H. ;
Wong, N-C ;
Yao, J-C .
JOURNAL OF APPLIED MATHEMATICS, 2012,
[9]   Shrinking projection algorithm for solving a finite family of quasi-variational inclusion problems in Hadamard manifold [J].
Chang, Shih-sen ;
Yao, J. C. ;
Liu, M. ;
Zhao, L. C. ;
Zhu, J. H. .
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2021, 115 (04)
[10]  
Chidume C.E., 2018, Journal of Fixed Point Theory and Applications, V16, DOI [10.1186/s13663-018-0641-4, DOI 10.1186/S13663-018-0641-4]
12345