Iterative approximation of solutions to nonlinear equations of \(\phi\)-strongly accretive operators in Banach spaces.
From MaRDI portal
Publication:1414961
DOI10.1216/rmjm/1034968427zbMath1044.47048OpenAlexW1987367047MaRDI QIDQ1414961
Michel Bounias, Liu, Zeqing, Kang, Shin Min
Publication date: 3 December 2003
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol32-3/CONT32-3/CONT32-3.html
accretive operatorfixed pointnonlinear equationIshikawa iterative method with errorsMann iterative method with errorspseudocontractive operator
Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
A three-step iterative scheme for solving nonlinear \(\phi\)-strongly accretive operator equations in Banach spaces ⋮ The equivalence between the convergences of Mann and Ishikawa iteration methods with errors for demicontinuous \(\varphi \)-strongly accretive operators in uniformly smooth Banach spaces ⋮ Variational inequalities for \(\phi\)-pseudo-contractive mappings
Cites Work
- Unnamed Item
- An iterative process for nonlinear Lipschitzian strongly accretive mappings in \(L_ p\) spaces
- 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
- Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
- An iterative process for nonlinear Lipschitzian and strongly accretive mappings in uniformly convex and uniformly smooth Banach spaces
- Iteration processes for nonlinear Lipschitzian strongly accretive mappings in \(L_ p\) spaces
- Ishikawa and Mann iteration methods with errors for nonlinear equations of the accretive type
- Iterative solution of nonlinear equations with strongly accretive operators
- Ishikawa iteration process for nonlinear Lipschitz strongly accretive mappings
- Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
- Iterative solution of nonlinear equations of the \(\Phi\)-strongly accretive type
- On Chidume's open questions
- Nonlinear semigroups and evolution equations
- Iterative Approximation of Fixed Points of Lipschitzian Strictly Pseudo-Contractive Mappings
- Iterative solutions of nonlinear φ-strongly accretive operator equations in arbitrary Banach spaces
- Iterative solutions of nonlinear accretive operator equations in arbitrary Banach spaces
- Approximation of Fixed Points of Strongly Pseudocontractive Mappings
- Approximation of fixed points of a strictly pseudocontractive mapping
- Iterative approximation of solutions to nonlinear equations of strongly accretive operators in Banach spaces
- Some problems and results in the study of nonlinear analysis
- Fixed Points by a New Iteration Method
- Iterative approximation of Lipschitz strictly pseudocontractive mappings in uniformly smooth Banach spaces
- Iterative solutions of nonlinear equations in smooth 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
