A generalized forward-backward splitting method for solving a system of quasi variational inclusions in Banach spaces
From MaRDI portal
Publication:2314624
DOI10.1007/s13398-018-0511-2OpenAlexW2793335503MaRDI QIDQ2314624
Jen-Chih Yao, Ching-Feng Wen, Shi Sheng Zhang
Publication date: 29 July 2019
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13398-018-0511-2
accretive operatormaximal monotone operatorsplitting methodforward-backward splitting algorithmimplicit middle rulesstrict pseudo-contractive mapping
Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
Convergence results of iterative algorithms for the sum of two monotone operators in reflexive Banach spaces., A theorem for solving Banach generalized system of variational inequality problems and fixed point problem in uniformly convex and 2-uniformly smooth Banach space, Modified Tseng's splitting algorithms for the sum of two monotone operators in Banach spaces, On new Picard-Mann iterative approximations with mixed errors for implicit midpoint rule and applications, Unnamed Item, Shrinking projection method for solving inclusion problem and fixed point problem in reflexive Banach spaces, Convergence theorem for solving a new concept of the split variational inequality problems and application, A modified extragradient method for variational inclusion and fixed point problems in Banach spaces, New strong convergence method for the sum of two maximal monotone operators, Algorithmic Aspect and Iterative Approximation of a Solution for a System of Generalized Multi-Valued Variational-Like Inclusions in Banach Spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A generalized forward-backward splitting method for solving quasi inclusion problems in Banach spaces
- Iterative methods for variational inequality problems and fixed point problems of a countable family of strict pseudo-contractions in a \(q\)-uniformly smooth Banach space
- Two generalized strong convergence theorems of Halpern's type in Hilbert spaces and applications
- Forward-backward splitting methods for accretive operators in Banach spaces
- Approximation methods for common fixed points of nonexpansive mappings in Hilbert spaces
- On convergence criteria of generalized proximal point algorithms
- Approximation of solutions to a system of variational inclusions in Banach spaces
- Modified extragradient methods for a system of variational inequalities in Banach spaces
- Strong convergence theorems for strict pseudo-contractions in \(q\)-uniformly smooth Banach spaces
- Zero point problem of accretive operators in Banach spaces
- On the contraction-proximal point algorithms with multi-parameters
- Modified extragradient methods for variational inequality problems and fixed point problems for an infinite family of nonexpansive mappings in Banach spaces
- Viscosity approximation methods for fixed-points problems
- Nonexpansive projections on subsets of Banach spaces
- Modified forward-backward splitting methods for accretive operators in Banach spaces
- Iterative Algorithms for Nonlinear Operators
- Generalized mixed equilibrium and fixed point problems in a Banach space
- Splitting Algorithms for the Sum of Two Nonlinear Operators
- On the Convergence of the Proximal Point Algorithm for Convex Minimization
- Monotone Operators and the Proximal Point Algorithm
- Convergence Rates in Forward--Backward Splitting
- A unified treatment of some iterative algorithms in signal processing and image reconstruction
- Iterative algorithms for the split variational inequality and fixed point problems under nonlinear transformations
- A generalized forward-backward method for solving split equality quasi inclusion problems in Banach spaces
- A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
- Generalized viscosity implicit rules for solving quasi-inclusion problems of accretive operators in Banach spaces
- Signal Recovery by Proximal Forward-Backward Splitting
- Analytic Inequalities
- On the Maximality of Sums of Nonlinear Monotone Operators
