Approximating iterations for nonexpansive and maximal monotone operators
From MaRDI portal
Publication:1669114
DOI10.1155/2015/451320zbMath1470.47038OpenAlexW1542514716WikidataQ59101638 ScholiaQ59101638MaRDI QIDQ1669114
Sun Young Cho, Zhangsong Yao, Li-Jun Zhu, Kang, Shin Min
Publication date: 30 August 2018
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2015/451320
Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new iterative scheme for equilibrium problems, fixed point problems for nonexpansive mappings and maximal monotone operators
- Modified proximal point algorithms for finding a zero point of maximal monotone operators, generalized mixed equilibrium problems and variational inequalities
- Strong convergence for maximal monotone operators, relatively quasi-nonexpansive mappings, variational inequalities and equilibrium problems
- A new iterative scheme for generalized mixed equilibrium, variational inequality problems, and a zero point of maximal monotone operators
- Convergence of an iterative algorithm for common solutions for zeros of maximal accretive operator with applications
- Hybrid proximal-point methods for zeros of maximal monotone operators, variational inequalities and mixed equilibrium problems
- Strong convergence theorems for maximal monotone operators with nonlinear mappings in Hilbert spaces
- A system of generalized mixed equilibrium problems, maximal monotone operators, and fixed point problems with application to optimization problems
- Visco-penalization of the sum of two monotone operators
- Algorithms of common solutions to quasi variational inclusion and fixed point problems
- Ergodic convergence to a zero of the sum of monotone operators in Hilbert space
- On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
- On the regularization of the sum of two maximal monotone operators
- Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces
- Convergence theorems for finding zero points of maximal monotone operators and equilibrium problems in Banach spaces
- Iterative Algorithms for Nonlinear Operators
- Splitting Algorithms for the Sum of Two Nonlinear Operators
- Monotone Operators and the Proximal Point Algorithm
- Generalized equations and their solutions, Part I: Basic theory
- The hybrid projection algorithm for finding the common fixed points of nonexpansive mappings and the zeroes of maximal monotone operators in Banach spaces
