A Global Optimization Algorithm for Multivariate Functions with Lipschitzian First Derivatives
Journal of Global Optimization, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Topological characteristics of multi-valued maps and Lipschitzian functionals
Izvestiya: Mathematics, 2008This paper deals with the operator inclusion , where is a multi-valued map of monotonic type from a reflexive space to its conjugate and is the cone normal to the closed set , which, generally speaking, is not convex. To estimate the number of solutions of this inclusion we introduce topological characteristics of multi-valued maps and Lipschitzian ...
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Applications of Ekeland's principle to locally Lipschitzian functionals
2000The authors take into consideration the set \(E_{\varepsilon}\) of the points satisfying Ekeland's variational principle for a function \(f:D\to R\cup\{+\infty\},\) where \(D\) is a subset of a Banach space. More precisely, they give a sufficient condition under which the closed convex hull of \(E_{\varepsilon}\) coincides with the whole space and then
CAMMAROTO, Filippo +2 more
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Directionally Lipschitzian Functions and Subdifferential Calculus
Proceedings of the London Mathematical Society, 1979openaire +1 more source
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