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- Title
NEWTON'S METHOD FOR GENERALIZED EQUATIONS UNDER WEAK CONDITIONS.
- Authors
Argyros, Ioannis K.; George, Santhosh
- Abstract
A local convergence analysis is developed for Newton's method in order to approximate a solution of a generalized equations in a Banach space setting. The convergence conditions are based on generalized continuity conditions on the Fréchet derivative of the operator involved and the Aubin property. The specialized cases of our results extend earlier ones using similar information.
- Subjects
BANACH spaces; NEWTON-Raphson method; EQUATIONS
- Publication
Serdica Mathematical Journal, 2023, Vol 49, Issue 4, p269
- ISSN
1310-6600
- Publication type
Article
- DOI
10.55630/serdica.2023.49.269-282