Strong convergence result of forward-backward splitting methods for accretive operators in Banach spaces with applications
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Publication:683603
DOI10.1007/s13398-016-0366-3OpenAlexW2565647014MaRDI QIDQ683603
Publication date: 8 February 2018
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/s13398-016-0366-3
Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
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Cites Work
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- Splitting-midpoint method for zeros of the sum of accretive operator and \(\mu\)-inversely strongly accretive operator in a \(q\)-uniformly smooth Banach space and its applications
- A generalized forward-backward splitting method for solving quasi inclusion problems in Banach spaces
- On sufficient conditions ensuring the norm convergence of an iterative sequence to zeros of accretive operators
- Study on integro-differential equation with generalized \(p\)-Laplacian operator
- Two generalized strong convergence theorems of Halpern's type in Hilbert spaces and applications
- Forward-backward splitting methods for accretive operators in Banach spaces
- Common fixed points of strict pseudocontractions by iterative algorithms
- Weak convergence theorems for a countable family of strict pseudocontractions in Banach spaces
- Strong convergence theorems for a common zero of a finite family of \(m\)-accretive mappings
- Existence of solutions to nonlinear Neumann boundary value problems with generalized \(p\)-Laplacian operator
- Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization
- Proximal point algorithms and four resolvents of nonlinear operators of monotone type in Banach spaces
- Ergodic convergence to a zero of the sum of monotone operators in Hilbert space
- Strong convergence theorems for resolvents of accretive operators in Banach spaces
- Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces
- Convexity, monotonicity, and gradient processes in Hilbert space
- Produits infinis de resolvantes
- Iterative methods for solving fixed-point problems with nonself-mappings in Banach spaces
- Some theorems on weakly contractive maps.
- Viscosity approximation methods for nonexpansive mappings
- On the contraction-proximal point algorithms with multi-parameters
- Study on the existence and uniqueness of solution of generalized capillarity problem
- Discussion on the existence and uniqueness of solution to nonlinear integro-differential systems
- A new iterative algorithm for the sum of two different types of finitely many accretive operators in Banach space and its connection with capillarity equation
- Nonlinear semigroups and evolution equations
- Donsker's Delta Function and the Covariance between Generalized Functionals
- 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 Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
- Non-linear boundary value problems with generalizedp-Laplacian, ranges of m-accretive mappings and iterative schemes
- Signal Recovery by Proximal Forward-Backward Splitting
- The applications of theories of accretive operators to nonlinear elliptic boundary value problems in \(L^p\)-spaces
- Extension of subgradient techniques for nonsmooth optimization in Banach spaces
- Iterative approximations for zeros of sum of accretive operators in Banach spaces
