A strong convergence theorem for a modified Krasnoselskii iteration method and its application to seepage theory in Hilbert spaces

DOI10.1016/j.joems.2013.12.012zbMath1366.47028OpenAlexW2004699779MaRDI QIDQ467086

Ali Mohamed Saddeek

Publication date: 3 November 2014

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2013.12.012

zbMATH Keywords

strong convergenceLipschitzian mappingsHilbert spacesKrasnoselskii iterationminimum norm solutionseepage theorypseudomonotone mappings

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Flows in porous media; filtration; seepage (76S05) Applications of operator theory in the physical sciences (47N50)

Related Items

On the convergence of a generalized modified Krasnoselskii iterative process for generalized strictly pseudocontractive mappings in uniformly convex Banach spaces ⋮ A modified two-layer iteration via a boundary point approach to generalized multivalued pseudomonotone mixed variational inequalities ⋮ Viscosity approximations considering boundary point method for fixed-point and variational inequalities of quasi-nonexpansive mappings

Cites Work

• A modified Mann iteration by boundary point method for finding minimum-norm fixed point of nonexpansive mappings
• Über die Methode sukzessiver Approximationen
• Approximating curve and strong convergence of the \(CQ\) algorithm for the split feasibility problem
• An example concerning fixed points
• The existence and uniqueness of the minimum norm solution to certain linear and nonlinear problems
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Structure of the fixed points sets of k-set-contractions
• Strong and weak convergence of the sequence of successive approximations for quasi-nonexpansive mappings
• Inequalities in Banach spaces with applications
• The Solution by Iteration of Nonlinear Equations in Hilbert Spaces
• Krasnoselskii's iteration process in hyperbolic space
• On the Set of Subsequential Limit Points of Successive Approximations
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• On successive approximations for nonexpansive mappings in Banach spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item