Almost stability of the Mann type iteration method with error term involving strictly hemicontractive mappings in smooth Banach spaces

DOI10.1186/1029-242X-2012-207zbMath1446.47065WikidataQ59288205 ScholiaQ59288205MaRDI QIDQ386776

Arif Rafiq, Saleh Abdullah Al-Mezel, Nawab Hussain, Ljubomir B. Ćirić

Publication date: 10 December 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

strong convergencesmooth Banach spacesLipschitz mappingscontinuous mappingsstrictly hemicontractive operatorslocal strongly pseudocontractive operatorsMann iteration method with error termmulti-step iteration processstrongly pseudocontractive operators

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

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 ⋮ On rate of convergence of Jungck-type iterative schemes ⋮ Convergence comparison and stability of Jungck-Kirk-type algorithms for common fixed point problems ⋮ Fixed points of α-dominated mappings on dislocated quasi metric spaces

Cites Work

• Comments on two fixed point iteration methods
• Ishikawa and Mann iterative processes with error for nonlinear strongly accretive operator equations
• Iterative approximations of fixed points and solutions for strongly accretive and strongly pseudo-contractive mappings in Banach spaces
• Stability of iterative procedures with errors approximating common fixed points for a couple of quasi-contractive mappings in \(q\)-uniformly smooth Banach spaces
• Common fixed points Noor iteration for a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces
• Iterative construction of fixed points of strictly pseudocontractive mappings
• Fixed Point Iterations For Strictly Hemi-Contractive Maps In Uniformly Smooth Banach Spaces
• Some problems and results in the study of nonlinear analysis
• Convergence theorems for \(\phi\)-strongly accretive and \(\phi\)-hemicontractive operators
• Stability of Ishikawa iteration methods with errors for strong pseudocontractions and nonlinear equations involving accretive operators in arbitrary real Banach spaces

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