On the convergence of a generalized modified Krasnoselskii iterative process for generalized strictly pseudocontractive mappings in uniformly convex Banach spaces

DOI10.1186/s13663-016-0549-9zbMathNoneOpenAlexW2346660766WikidataQ59464046 ScholiaQ59464046MaRDI QIDQ284914

Ali Mohamed Saddeek

Publication date: 18 May 2016

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13663-016-0549-9

zbMATH Keywords

uniformly convex Banach spacesgeneralized modified Krasnoselskii iterativegeneralized strictly pseudocontractive mappingsminimum norm solutions

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (1)

A modified two-layer iteration via a boundary point approach to generalized multivalued pseudomonotone mixed variational inequalities

Cites Work

• A modified Mann iteration by boundary point method for finding minimum-norm fixed point of nonexpansive mappings
• A strong convergence theorem for a modified Krasnoselskii iteration method and its application to seepage theory in Hilbert spaces
• Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
• Convergence theorems of fixed points for \(\kappa \)-strict pseudo-contractions in Hilbert spaces
• On the asymptotic behavior of nonlinear semigroups and the range of accretive operators
• Analysis of one-dimensional soft shell static state equations and of algorithm of their solving
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Construction of fixed points of nonlinear mappings in Hilbert space
• Nonlinear semigroups and evolution equations
• A strong convergence theorem on generalized equilibrium problems and strictly pseudocontractive mappings
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
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