HYBRID VISCOSITY APPROXIMATION METHODS WITH GENERALIZED CONTRACTIONS FOR ZEROS OF MONOTONE OPERATORS AND FIXED POINT PROBLEMS

被引：0

作者：

Cheng, Qingqing ^{[1
]}

机构：

[1] Tianjin Univ Commerce, Dept Sci, Tianjin 300134, Peoples R China

来源：

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2022年 / 2022卷

关键词：

Implicit iterative algorithms; Inverse-strongly monotone operator; Maximal monotone operator; Meir-Keeler viscosity approximation method; Nonexpansive mapping; NONEXPANSIVE-MAPPINGS; STRONG-CONVERGENCE; ITERATIVE METHOD; THEOREMS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we construct implicit and explicit hybrid viscosity iterative algorithms with generalized contractions for approximating a common solution of the zero point problem with an inverse-strongly monotone mapping and a maximal monotone operator and the fixed point problem of an infinite family of nonexpansive mappings. Under suitable conditions, we obtain two strong convergence theorems in Hilbert space. Some applications and numerical examples are provided to support our main results.

引用

页数：23

共 50 条

[41] Hybrid viscosity methods for equilibrium problems, variational inequalities, and fixed point problems
Ceng, L. C.
Latif, A.
Al-Mazrooei, A. E.
APPLICABLE ANALYSIS, 2016, 95 (05) : 1088 - 1117
[42] A System of Generalized Mixed Equilibrium Problems, Maximal Monotone Operators, and Fixed Point Problems with Application to Optimization Problems
Sunthrayuth, Pongsakorn
Kumam, Poom
ABSTRACT AND APPLIED ANALYSIS, 2012,
[43] A hybrid approximation method for equilibrium and fixed point problems for a monotone mapping and a nonexpansive mapping
Kumam, Poom
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2008, 2 (04) : 1245 - 1255
[44] Viscosity approximation methods for fixed point problems in hilbert spaces endowed with graphs
Cholamjiak W.
Suantai S.
Suparatulatorn R.
Kesornprom S.
Cholamjiak P.
Journal of Applied and Numerical Optimization, 2019, 1 (01): : 25 - 38
[45] Viscosity Approximation Methods for Split Common Fixed-Point Problem of Directed Operators
Zhao, Jing
He, Songnian
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2015, 36 (04) : 528 - 547
[46] Hybrid Extragradient Methods for Finding Zeros of Accretive Operators and Solving Variational Inequality and Fixed Point Problems in Banach Spaces
Ceng, Lu-Chuan
Wen, Ching-Feng
ABSTRACT AND APPLIED ANALYSIS, 2013,
[47] VISCOSITY APPROXIMATION FOR SPLIT MONOTONE VARIATIONAL INCLUSIONS AND FIXED POINT PROBLEM
Rizvi, Shuja Haider
FIXED POINT THEORY, 2023, 24 (02): : 701 - 720
[48] An extragradient iterative scheme by viscosity approximation methods for fixed point problems and variational inequality problems
Petrusel, Adrian
Yao, Jen-Chih
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2009, 7 (02): : 335 - 347
[49] Strong convergence of viscosity approximation methods for the fixed-point of pseudo-contractive and monotone mappings
Tang, Yan
FIXED POINT THEORY AND APPLICATIONS, 2013,
[50] Strong convergence of viscosity approximation methods for the fixed-point of pseudo-contractive and monotone mappings
Yan Tang
Fixed Point Theory and Applications, 2013

← 1 2 3 4 5 →