On Mann-type iteration method for a family of hemicontractive mappings in Hilbert spaces
From MaRDI portal
Publication:395817
DOI10.1186/1029-242X-2013-41zbMath1282.05080WikidataQ59294158 ScholiaQ59294158MaRDI QIDQ395817
Arif Rafiq, Nawab Hussain, Yeol Je Cho, Ljubomir B. Ćirić
Publication date: 30 January 2014
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Hilbert spaceLipschitzian mappingpseudocontractive mappinghemicontractive mappingcontinuous mappingsMann-type iteration method
Exact enumeration problems, generating functions (05A15) Determinants, permanents, traces, other special matrix functions (15A15) Paths and cycles (05C38) Eigenvalues, singular values, and eigenvectors (15A18)
Related Items
An intermixed algorithm for strict pseudo-contractions in Hilbert spaces, Convergence and stability of modified multi-step Noor iterative procedure with errors for strictly hemicontractive-type mappings in Banach spaces, On the convergence of implicit Picard iterative sequences for strongly pseudocontractive mappings in Banach spaces, Some convergence theorems of the Mann iteration for monotone \(\alpha\)-nonexpansive mappings, Fixed points of α-dominated mappings on dislocated quasi metric spaces
Cites Work
- The convergence theorems of the sequence of Ishikawa iterates for hemicontractive mappings
- Iterative construction of fixed points of asymptotically nonexpansive mappings
- On Mann iteration in Hilbert spaces
- Implicit fixed point iterations for pseudocontractive mappings
- Implicit Mann fixed point iterations for pseudo-contractive mappings
- Weak convergence theorems for nonexpansive mappings in Banach spaces
- Strong convergence theorems for resolvents of accretive operators in Banach spaces
- A necessary and sufficient condition for convergence of steepest descent approximation to accretive operator equations
- Comments on two fixed point iteration methods
- On the range of accretive operators
- On the Mann iteration process in a Hilbert space
- Ishikawa and Mann iterative processes with error for nonlinear strongly accretive operator equations
- Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
- Iteration processes for nonlinear Lipschitzian strongly accretive mappings in \(L_ p\) spaces
- Ishikawa iteration process for nonlinear Lipschitz strongly accretive mappings
- 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
- An example on the Mann iteration method for Lipschitz pseudocontractions
- SOME NOTES ON ISHIKAWA ITERATION FOR MULTI-VALUED MAPPINGS
- STRONG CONVERGENCE OF AN IMPLICIT ITERATIVE PROCESS FOR AN INFINITE FAMILY OF STRICT PSEUDOCONTRACTIONS
- A STRONG CONVERGENCE OF A MODIFIED KRASNOSELSKII‐MANN METHOD FOR NON‐EXPANSIVE MAPPINGS IN HILBERT SPACES
- Iterative construction of fixed points of strictly pseudocontractive mappings
- Constructing zeros of accretive operators II
- Inequalities in Banach spaces with applications
- Global iteration schemes for strongly pseudo-contractive maps
- Fixed point iteration for pseudocontractive maps
- On a Theorem of C. E. Chidume Concerning the Iterative Approximation of Fixed Points
- Iterative Solutions of Nonlinear Equations of the Strongly Accretive Type
- Nonlinear accretive and pseudo-contractive operator equations in Banach spaces
- Iterative approximation of Lipschitz strictly pseudocontractive mappings in uniformly smooth Banach spaces
- Convergence theorems of the sequence of iterates for asymptotically demicontractive and hemicontractive mappings
