Further investigation on iteration processes for pseudocontractive mappings with application
From MaRDI portal
Publication:644187
DOI10.1016/j.na.2011.08.015zbMath1393.47036OpenAlexW2001621822MaRDI QIDQ644187
Publication date: 3 November 2011
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2011.08.015
reflexive Banach spacesuniformly Gâteaux differentiable normaccretive mappingspseudocontractive operators
Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
New implicit and explicit approximation methods for solutions of integral equations of Hammerstein type ⋮ Convergence of hybrid viscosity and steepest-descent methods for pseudocontractive mappings and nonlinear Hammerstein equations ⋮ A general approximation scheme for solutions of various problems in fixed point theory ⋮ Minimum-norm fixed point of pseudocontractive mappings ⋮ Unnamed Item ⋮ Approximation of minimum-norm fixed point of total asymptotically nonexpansive mapping ⋮ Algorithms with variant anchors for pseudocontractive mappings ⋮ An algorithm for finding common solutions of various problems in nonlinear operator theory ⋮ Coupling Ishikawa algorithms with hybrid techniques for pseudocontractive mappings
Cites Work
- Über die Methode sukzessiver Approximationen
- A new iteration process for generalized Lipschitz pseudo-contractive and generalized Lipschitz accretive mappings
- A new iteration process for finite families of generalized Lipschitz pseudo-contractive and generalized Lipschitz accretive mappings
- Strong convergence theorems for a common zero of a countably infinite family of \(\alpha \)-inverse strongly accretive mappings
- Weak convergence theorems for nonexpansive mappings in Banach spaces
- Strong convergence theorems for resolvents of accretive operators in Banach spaces
- Fixed point iterations for real functions
- On the Mann iteration process in a Hilbert space
- Extension problems for accretive sets in Banach spaces
- Zeros of accretive operators
- A strongly convergent iterative solution of \(0 \in U(x)\) for a maximal monotone operator U in Hilbert space
- Geometric properties of Banach spaces and nonlinear iterations
- Nonlinear semigroups and evolution equations
- The solvability of non-linear functional equations
- Iterative approximation of fixed points of Lipschitz pseudocontractive maps
- An example on the Mann iteration method for Lipschitz pseudocontractions
- Approximation of Fixed Points of Asymptotically Nonexpansive Mappings
- An Elementary Proof of Surjectivity for a Class of Accretive Operators
- Fixed point iteration for pseudocontractive maps
- Approximate fixed point sequences and convergence theorems for Lipschitz pseudocontractive maps
- Fixed Points by a New Iteration Method
- Nonlinear elliptic boundary value problems
- Nonlinear accretive operators in Banach spaces
- NONLINEAR MONOTONE AND ACCRETIVE OPERATORS IN BANACH SPACES
- Nonlinear mappings of nonexpansive and accretive type in Banach spaces
- A Global Existence Theorem for Autonomous Differential Equations in a Banach Space
- Mean Value Methods in Iteration
- Iterative solution of nonlinear equations involving set-valued uniformly accretive operators.
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
