Convergence Analysis of the Gauss–Newton‐Type Method for Lipschitz‐Like Mappings

Convergence Analysis of the Gauss–Newton‐Type Method for Lipschitz‐Like Mappings

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Article ID: iaor20134189
Volume: 158
Issue: 1
Start Page Number: 216
End Page Number: 233
Publication Date: Jul 2013
Journal: Journal of Optimization Theory and Applications
Authors: , , ,
Keywords: Newton method, global convergence, Banach space, mapping
Abstract:

We introduce in the present paper a Gauss–Newton‐type method for solving generalized equations defined by sums of differentiable mappings and set‐valued mappings in Banach spaces. Semi‐local convergence and local convergence of the Gauss–Newton‐type method are analyzed.

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