Modified Ishikawa Iteration Process for Nonlinear Lipschitz Generalized Strongly Pseudo-Contractive Operators in Arbitrary Banach Spaces
DOI10.1080/01630560701563818zbMath1132.47049OpenAlexW2013889544MaRDI QIDQ5438279
Siniša N. Ješić, Ume, Jeong Sheok, Marina M. Arandjelović-Milovanović, Ljubomir B. Ćirić
Publication date: 23 January 2008
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630560701563818
fixed point iterationstrongly accretive operatorstrongly pseudocontractive operatorgeneralized strongly quasi-accretive operator
Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items (6)
Cites Work
- Unnamed Item
- Unnamed Item
- An iterative process for nonlinear Lipschitzian strongly accretive mappings in \(L_ p\) spaces
- Comments on two fixed point iteration methods
- Iterative approximations of fixed points and solutions for strongly accretive and strongly pseudo-contractive mappings in Banach spaces
- Iterative solutions to nonlinear equations of strongly accretive operators in Banach spaces
- An iterative process for nonlinear Lipschitzian and strongly accretive mappings in uniformly convex and uniformly smooth Banach spaces
- Strong convergence of modified Mann iterations
- Iterative solution of nonlinear equations with strongly accretive operators
- Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
- On Chidume's open questions
- Construction of fixed points of nonlinear mappings in Hilbert space
- Convergence theorems for implicit iteration process for a finite family of continuous pseudocontractive mappings
- Approximate Fixed-Point Theorems for Discontinuous Mappings
- Iterative processes with errors for nonlinear equations
- Iterative approximation of Lipschitz strictly pseudocontractive mappings in uniformly smooth Banach spaces
- Ishikawa iterative process with errors for nonlinear equations of generalized monotone type in Banach spaces
- On Convergence Domains of Newton's and Modified Newton Methods
- Invariant Approximations for GeneralizedI-Contractions
This page was built for publication: Modified Ishikawa Iteration Process for Nonlinear Lipschitz Generalized Strongly Pseudo-Contractive Operators in Arbitrary Banach Spaces