EXISTENCE OF SOLUTIONS FOR NONLINEAR VOLTERRA FREDHOLM INTEGRODIFFERENTIAL EQUATION OF HIGHER ORDER VIA S-ITERATION METHOD

DOI10.17654/0974324323014OpenAlexW4382402347MaRDI QIDQ6170215

Unnamed Author, Haribhau L. Tidke

Publication date: 15 August 2023

Published in: Advances in Differential Equations and Control Processes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/0974324323014

zbMATH Keywords

parametersexistencecontinuous dependenceclosenessVolterra-Fredholm integrodifferential equationnormal S-iterative method

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Fredholm integral equations (45B05) Volterra integral equations (45D05) Integral equations (45-XX)

Cites Work

• On rate of convergence of various iterative schemes
• Strong convergence of iterative methods by strictly pseudocontractive mappings in Banach spaces
• Data dependence for Ishikawa iteration when dealing with contractive-like operators
• Some convergence and stability results for the Kirk multistep and Kirk-SP fixed point iterative algorithms
• Nonlinear mixed Volterra-Fredholm integrodifferential equation with nonlocal condition.
• Iterative approximation of fixed points and applications to two-point second-order boundary value problems and to machine learning
• On a three-step iteration process for multivalued Reich-Suzuki type \(\alpha \)-nonexpansive and contractive mappings
• Iterative algorithms of generalized nonexpansive mappings and monotone operators with application to convex minimization problem
• Comparison rate of convergence and data dependence for a new iteration method
• Strong convergence for hybrid \(S\)-iteration scheme
• Some convergence and stability results for two new Kirk type hybrid fixed point iterative algorithms
• A Picard-Mann hybrid iterative process
• Iterative approximation of fixed points of Lipschitz pseudocontractive maps
• Fixed Points by a New Iteration Method
• An Example of Data Dependence Result for The Class of Almost Contraction Mappings
• Investigation of some fixed point theorems in hyperbolic spaces for a three step iteration process
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