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On conditions to have bounded multipliers in locally lipschitz programming
Mathematical Programming, 1980For a nonlinear programming problem with locally Lipschitz objective and inequality constraint functions and continuously differentiable equality constraint functions, a necessary and sufficient condition is presented for the set of multiplier vectors to be nonempty and bounded.
Nguyen, Van Hien +2 more
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Estimation of a Local Lipschitz Constant of the B q -Entropy
Automation and Remote Control, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Popkov, Yu. S., Rublev, M. V.
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Local Lipschitz constants and Kolushov polynomials
Acta Mathematica Hungarica, 1991Let \(C[a,b]\) be the space of continuous real-valued functions on \([a,b]\) with uniform norm \(\|\;\|\). For \(f\) in \(C[a,b]\), let \(B_ n(f)\) denote the best uniform approximate from the set of algebraic polynomials of degree \(n\) or less to \(f\). \(E_ n(f)\) is the number of the extremal points of \(f-B_ n(f)\).
Bartelt, M. W., Swetits, J. J.
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The Lipschitz extension problem with prescribed local Lipschitz constants and eikonal mappings
Journal of Mathematical Analysis and ApplicationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Backus, Aidan, Ze-An, Ng
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Locally Lipschitz selections in Banach lattices
Nonlinear Analysis: Theory, Methods & Applications, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michta, Mariusz, Motyl, Jerzy
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Local and global Lipschitz classes
1987Let h be a modulus of continuity, i.e. u is a concave positive and increasing function. If D is a domain in \({\mathbb{R}}^ n\), then a function \(u: D\to {\mathbb{R}}\) is said to belong to the local Lipschitz class loc Lip\({}_ h(D)\) if there is \(b\in (0,1)\) and M such that \(| u(x)- u(y)| \leq M h(| x-y|)\) for all \(x\in D\) and \(y\in D\) with \
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A (CF)-mapping of integral functional of locally lipschitz functions
Journal of Global Optimization, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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