Newton-type iterative schemes for generalized equations

DOI10.1016/J.NA.2005.01.063zbMath1224.65131OpenAlexW2011105689MaRDI QIDQ1000040

John Ola-Oluwa Adeyeye, Livinus Ugochukwu Uko

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.01.063

zbMATH Keywords

Hausdorff metricmajorant methodnonsmooth equationiterative solutiongeneralized equationgeneralized Newton schememultivalued Hausdorff-continuous functionsingle-valued differentiable functionZabrejko-Nguen conditions

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Cites Work

• A class of generalized Newton iterative schemes
• Generalized equations and the generalized Newton method
• Improved error bounds for Newton's method under generalized Zabrejko- Nguen-type assumptions
• Multi-valued contraction mappings
• The majorant method in the theory of newton-kantorovich approximations and the pták error estimates
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