Semilocal convergence analysis of \(S\)-iteration process of Newton-Kantorovich like in Banach spaces

DOI10.1007/s10957-016-1031-xzbMath1359.65089OpenAlexW2542032215MaRDI QIDQ511962

Jen-Chih Yao, Satyendra Kumar, Daya Ram Sahu, Vipin Kumar Singh

Publication date: 23 February 2017

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-016-1031-x

zbMATH Keywords

numerical resultsFredholm integral equationssemilocal convergenceNewton-Kantorovich methodnonlinear operator equations\(S\)-iteration process

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Other nonlinear integral equations (45G10) Numerical solutions to equations with nonlinear operators (65J15) Fredholm integral equations (45B05)

Related Items (7)

Unnamed Item ⋮ S-iteration process of Halpern-type for common solutions of nonexpansive mappings and monotone variational inequalities ⋮ Proximal point algorithms based on \(S\)-iterative technique for nearly asymptotically quasi-nonexpansive mappings and applications ⋮ Convergence analysis of parallel \(S\)-iteration process for system of generalized variational inequalities ⋮ On the convergence of inexact Newton-like methods under mild differentiability conditions ⋮ A Picard-type iterative algorithm for general variational inequalities and nonexpansive mappings ⋮ Higher order methods of the basic family of iterations via \(S\)-iteration scheme with \(s\)-convexity

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