Approximation of Solutions of Nonlinear Equations of Monotone and Hammerstein Type
From MaRDI portal
Publication:4459844
DOI10.1080/0003681031000151452zbMath1073.47060OpenAlexW2076454668WikidataQ58166244 ScholiaQ58166244MaRDI QIDQ4459844
Charles E. Chidume, Habtu Zegeye
Publication date: 18 May 2004
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/0003681031000151452
Monotone operators and generalizations (47H05) Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30)
Related Items
Viscosity iterative algorithm for the zero point of monotone mappings in Banach spaces, An inertial-type algorithm for approximation of solutions of Hammerstein integral inclusions in Hilbert spaces, Convergence theorems for \(\psi\)-expansive and accretive mappings, Iterative algorithms for solutions of Hammerstein equations in real Banach spaces, Iterative algorithms for solutions of Hammerstein integral inclusions, New semi-implicit midpoint rule for zero of monotone mappings in Banach spaces, New iterative methods for finding solutions of Hammerstein equations, Algorithms for Nonlinear Integral Equations of Hammerstein Type with Phi-monotone Mappings in Certain Banach Spaces, Algorithm for approximating solutions of Hammerstein integral equations with maximal monotone operators, Unnamed Item, Approximation of solutions of nonlinear integral equations of Hammerstein type with Lipschitz and bounded nonlinear operators, An Iterative Algorithm for Approximating Solutions of Hammerstein Integral Equations, An iterative algorithm for approximating solutions of Hammerstein equations with monotone maps in Banach spaces, Approximation of zeros of bounded maximal monotone mappings, solutions of Hammerstein integral equations and convex minimization problems, Strong convergence of an inertial algorithm for maximal monotone inclusions with applications, An Iterative Algorithm for Approximating Solutions of Hammerstein Equations with Bounded Generalized Phi-Monotone Mappings, On the strong convergence of the proximal point algorithm with an application to Hammerstein euations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The iterative solution of the equation \(f\in x+Tx\) for a monotone operator T in \(L^ p\) spaces
- Monotone (nonlinear) operators in Hilbert space
- Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces
- A convergence theorem for Ishikawa iterates of continuous generalized nonexpansive maps
- A generalized steepest descent approximation for the zeros of \(m\)-accretive operators
- Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
- Fixed point iterations for certain nonlinear mappings
- On the iterative method for variational inequalities with nonsmooth unbounded operators in Banach space
- On Chidume's open questions and approximate solutions of multivalued strongly accretive mapping equations in Banach spaces
- Steepest descent method for equilibrium points of nonlinear systems with accretive operators
- On Chidume's open questions
- Inequalities in Banach spaces with applications
- Existence theorems for nonlinear integral equations of Hammerstein type
- Global iteration schemes for strongly pseudo-contractive maps
- Fixed point iteration for pseudocontractive maps
- Approximation of the zeros of -accretive operators
- On a Theorem of C. E. Chidume Concerning the Iterative Approximation of Fixed Points
- Approximation of fixed points of a strictly pseudocontractive mapping
- Iterative Solutions of Nonlinear Equations of the Strongly Accretive Type
- Some new results about Hammerstein equations
- Monotone operators and nonlinear integral equations of Hammerstein type
- Maximal monotone operators and nonlinear integral equations of Hammerstein type
- Global iterative schemes for accretive operators