Search Results - "Gaydu, Michaël"
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A General Iterative Procedure to Solve Generalized Equations with Differentiable Multifunction
Published in Journal of optimization theory and applications (01-04-2020)“…Taking advantage of recent developments in the theory of generalized differentiation of multifunctions, we present in a unified manner a general iterative…”
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Stability properties of the Tikhonov regularization for nonmonotone inclusions
Published in Journal of global optimization (01-04-2012)“…We study the Tikhonov regularization for perturbed inclusions of the form where T is a set-valued mapping defined on a Banach space that enjoys metric…”
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An iterative method for solving H-differentiable inclusions
Published in Rendiconti del Circolo matematico di Palermo (12-12-2014)“…This paper deals with the solving of variational inclusions T ( x ) ∋ 0 that possess a certain generalized differentiability property which has been recently…”
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A Newton iteration for differentiable set-valued maps
Published in Journal of mathematical analysis and applications (01-03-2013)“…We employ recent developments of generalized differentiation concepts for set-valued mappings and present a Newton-like iteration for solving generalized…”
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Prederivatives of convex set-valued maps and applications to set optimization problems
Published in Journal of global optimization (2016)“…We investigate the existence of several kinds of prederivatives for set-valued mappings enjoying convex properties. Then, we established both necessary and…”
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Stability of minimizers of set optimization problems
Published in Positivity : an international journal devoted to the theory and applications of positivity in analysis (01-03-2017)“…We study the asymptotic behavior of sequences of minimization problems in set optimization. More precisely, considering a sequence of set optimization…”
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A Lyusternik–Graves theorem for the proximal point method
Published in Computational optimization and applications (01-07-2012)“…We consider a generalized version of the proximal point algorithm for solving the perturbed inclusion y ∈ T ( x ), where y is a perturbation element near 0 and…”
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Metric subregularity of order q and the solving of inclusions
Published in Open mathematics (Warsaw, Poland) (01-02-2011)Get full text
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Tikhonov regularization of metrically regular inclusions
Published in Positivity : an international journal devoted to the theory and applications of positivity in analysis (01-05-2009)“…We present a Tikhonov regularization method for inclusions of the form where T is a set-valued mapping defined on a Banach space that enjoys metric regularity…”
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An iterative method for solving $$H$$ H -differentiable inclusions
Published in Rendiconti del Circolo matematico di Palermo (01-12-2014)Get full text
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An inverse mapping theorem for H-differentibale set-valued maps
Published in Journal of mathematical analysis and applications (2015)“…Taking advantage of recent developments in the theory of generalized differentiation, we present an inverse mapping theorem for set-valued maps and prove its…”
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