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

M. H. Rashid (), S. H. Yu (), C. Li () and S. Y. Wu ()
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M. H. Rashid: Zhejiang University
S. H. Yu: Zhejiang Normal University
C. Li: Zhejiang University
S. Y. Wu: National Cheng Kung University

Journal of Optimization Theory and Applications, 2013, vol. 158, issue 1, No 12, 216-233

Abstract: 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.

Keywords: Set-valued mappings; Lipschitz-like mappings; Generalized equations; Gauss–Newton-type method; Semi-local convergence (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10957-012-0206-3

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