Bruck formula for a perturbed Lipschitzian iteration of Lipschitz pseudocontractive maps

DOI10.1007/BF03246248zbMath1171.47304OpenAlexW1965122361MaRDI QIDQ957642

B. E. Eshmatov

Publication date: 1 December 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03246248

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

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• The convergence theorems of the sequence of Ishikawa iterates for hemicontractive mappings
• Comments on two fixed point iteration methods
• The solution by iteration of nonlinear equations in uniformly smooth Banach spaces
• On the convergence problems of Ishikawa and Mann iterative processes with error for \(\Phi\)-pseudo contractive type mappings
• A strongly convergent iterative solution of \(0 \in U(x)\) for a maximal monotone operator U in Hilbert space
• Iterative solution of nonlinear equations of the \(\Phi\)-strongly accretive type
• Construction of fixed points of demicompact mappings in Hilbert space
• Nonlinear semigroups and evolution equations
• An example on the Mann iteration method for Lipschitz pseudocontractions
• The Almost Fixed Point Property for Nonexpansive Mappings
• The Fixed Point Property and Unbounded Sets in Hilbert Space
• On Nonexpansive Mappings
• Fixed point theorems for asymptotically nonexpansive mappings
• Approximate fixed point sequences and convergence theorems for Lipschitz pseudocontractive maps
• Convergence of paths for pseudo-contractive mappings in Banach spaces
• Fixed Points by a New Iteration Method
• Fixed points of nonexpanding maps
• Nonlinear mappings of nonexpansive and accretive type in Banach spaces
• Mean Value Methods in Iteration
• Iterative sequences for asymptotically quasi-nonexpansive mappings.
• Iterative solution of nonlinear equations involving set-valued uniformly accretive operators.