On the strong convergence of the proximal point algorithm with an application to Hammerstein euations
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Publication:780428
DOI10.1007/s11784-020-00793-6OpenAlexW3036961470MaRDI QIDQ780428
A. Adamu, U. V. Nnyaba, Ma'aruf Shehu Minjibir, Charles E. Chidume
Publication date: 15 July 2020
Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11784-020-00793-6
Monotone operators and generalizations (47H05) 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
- New implicit and explicit approximation methods for solutions of integral equations of Hammerstein type
- Solution of nonlinear integral equations of Hammerstein type
- Hybrid approximation of solutions of nonlinear operator equations and application to equation of Hammerstein-type
- A regularization method for the proximal point algorithm
- Approximation of a zero point of accretive operator in Banach spaces
- Convergence of the Mann iteration algorithm for a class of pseudocontractive mappings
- Approximation of solutions of Hammerstein equations with bounded strongly accretive nonlinear operators
- Monotone (nonlinear) operators in Hilbert space
- Strong convergence of contraction semigroups and of iterative methods for accretive operators in Banach spaces
- Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces
- Asymptotic convergence of nonlinear contraction semigroups in Hilbert space
- Extension problems for accretive sets in Banach spaces
- Projection and proximal point methods: Convergence results and counterexamples.
- Strong convergence theorem for integral equations of Hammerstein type in Hilbert spaces
- An iterative algorithm for approximating solutions of Hammerstein equations with monotone maps in Banach spaces
- Solutions to inexact resolvent inclusion problems with applications to nonlinear analysis and optimization
- Analysis and control of nonlinear infinite dimensional systems
- Forcing strong convergence of proximal point iterations in a Hilbert space
- Approximation of zeros of bounded maximal monotone mappings, solutions of Hammerstein integral equations and convex minimization problems
- A strong convergence theorem for generalized-\( \varPhi \)-strongly monotone maps, with applications
- Iterative algorithms for solutions of Hammerstein equations in real Banach spaces
- Iterative algorithms for solutions of Hammerstein integral inclusions
- Iterative approximation of solutions of equations of Hammerstein type in certain Banach spaces
- An iterative method for solving nonlinear integral equations of Hammerstein type
- Geometric properties of Banach spaces and nonlinear iterations
- Strong convergence of an iterative method for nonexpansive and accretive operators
- Strong convergence theorems for bounded accretive operators in uniformly smooth Banach spaces
- Iterative solution of nonlinear equations of the monotone type in Banach spaces
- Two Strong Convergence Theorems for a Proximal Method in Reflexive Banach Spaces
- On the Convergence of the Proximal Point Algorithm for Convex Minimization
- Existence theorems for nonlinear integral equations of Hammerstein type
- Monotone Operators and the Proximal Point Algorithm
- An iterative procedure for constructing zeros of accretive sets in Banach spaces
- Strong Convergence of a Proximal-Type Algorithm in a Banach Space
- Approximation of Solutions of Nonlinear Equations of Monotone and Hammerstein Type
- Some new results about Hammerstein equations
- Approximation of solutions of nonlinear equations of Hammerstein type in Hilbert space
- Nonlinear elliptic boundary value problems
- An Iterative Algorithm for Approximating Solutions of Hammerstein Integral Equations
- Monotone operators and nonlinear integral equations of Hammerstein type
- A Global Existence Theorem for Autonomous Differential Equations in a Banach Space
- Local boundedness of monotone-type operators
- On the Variational Method for the Existence of Solutions of Nonlinear Equations of Hammerstein Type
- Combining The Proximal Algorithm And Tikhonov Regularization
- Convergence theorem for zeros of generalized Lipschitz generalized phi-quasi-accretive operators
- Approximation of solutions of generalized equations of Hammerstein type
- Iterative approximation of solutions of nonlinear equations of Hammerstein type
- Iterative approximation of solutions of nonlinear equations of Hammerstein type
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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