Convergence and stability of an iterative algorithm for strongly accretive Lipschitzian operator with applications

DOI10.2298/FIL2011689KzbMath1498.47128OpenAlexW3142600760MaRDI QIDQ5081257

Faik Gürsoy, Vivek Kumar, Abdul Rahim Khan, Nawab Hussain

Publication date: 14 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil2011689k

zbMATH Keywords

stabilityiterative algorithmfixed pointstrongly accretive operator

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25)

Related Items (2)

Some convergence, stability, and data dependence results for $K^{\ast }$ iterative method of quasi-strictly contractive mappings ⋮ A self-adaptive extragradient algorithm for solving quasimonotone variational inequalities

Cites Work

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• On the rate of convergence of Mann, Ishikawa, Noor and SP-iterations for continuous functions on an arbitrary interval
• An iterative process for nonlinear Lipschitzian strongly accretive mappings in \(L_ p\) spaces
• Iterative approximation of fixed points
• Ishikawa and Mann iterative processes with error for nonlinear strongly accretive operator equations
• Stability of the Mann and Ishikawa iteration procedures for \(\phi\)-strong pseudocontractions and nonlinear equations of the \(\phi\)-strongly accretive type
• New approximation schemes for general variational inequalities
• Analytical and numerical treatment of Jungck-type iterative schemes
• Weak and strong convergence theorems for three-step iterations with errors for asymptotically nonexpansive mappings
• Zeros of accretive operators
• The Mann and Ishikawa iterative approximation of solutions to variational inclusions with accretive type mappings
• Convergence of Ishikawa iterative sequences for accretive Lipschitzian mappings in Banach spaces
• Nonlinear semigroups and evolution equations
• On uniformly Lipschitzian multivalued mappings in Banach and metric spaces
• On convergence of random iterative schemes with errors for strongly pseudo-contractive Lipschitzian maps in real Banach spaces
• On analytical and numerical study of implicit fixed point iterations
• Ishikawa-type and Mann-type iterative processes with errors for constructing solutions of nonlinear equations involving m-accretive operators in Banach spaces
• Approximation of fixed points of strictly pseudocontractive mappings on arbitrary closed, convex sets in a Banach space
• Some fixed point results for a new three steps iteration process in Banach spaces
• The local and semilocal convergence analysis of new Newton-like iteration methods
• Convergence and Data Dependency of Normal−S Iterative Method for Discontinuous Operators on Banach Space
• Fixed Points by a New Iteration Method
• STABLE AND ALMOST STABLE ITERATION SCHEMES FOR STRICTLY HEMI-CONTRACTIVE OPERATORS IN ARBITRARY BANACH SPACES
• Random iterative algorithms and almost sure stability in Banach spaces
• Convergence of SP iterative scheme with mixed errors for accretive Lipschitzian and strongly accretive Lipschitzian operators in Banach spaces
• Modified Ishikawa Iteration Process for Nonlinear Lipschitz Generalized Strongly Pseudo-Contractive Operators in Arbitrary Banach Spaces
• The solution by iteration of nonlinear functional equations in Banach spaces
• Strong convergence theorems of an iterative scheme for strictly pseudocontractive mappings in Banach spaces
• Mean Value Methods in Iteration

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