Results 21 to 30 of about 5,623,825 (245)
2-Local Isometries on Spaces of Lipschitz Functions
Canadian Mathematical Bulletin, 2011 AbstractLet (X, d) be a metric space, and let Lip(X) denote the Banach space of all scalar-valued bounded Lipschitz functions ƒ on X endowed with one of the natural normswhere L(ƒ) is the Lipschitz constant of ƒ. It is said that the isometry group of Lip(X) is canonical if every surjective linear isometry of Lip(X) is induced by a surjective isometry ...
Jiménez Vargas, Antonio +1 more
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Convergence of the Momentum Method for Semialgebraic Functions with Locally Lipschitz Gradients
SIAM Journal on Optimization, 2023 33 pages.
Cédric Josz +2 more
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Local convergence of exact and inexact newton’s methods for subanalytic variational inclusions
Revista de Matemática: Teoría y Aplicaciones, 2015 This paper deals with the study of an iterative method for solving a variational inclusion of the form 0 ∈ f (x)+F (x) where f is a locally Lipschitz subanalytic function and F is a set-valued map from Rn to the closed subsets of Rn.
Catherine Cabuzel +2 more
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Constructing a subgradient from directional derivatives for functions of two variables [PDF]
Journal of Nonsmooth Analysis and Optimization, 2020 For any scalar-valued bivariate function that is locally Lipschitz continuous and directionally differentiable, it is shown that a subgradient may always be constructed from the function's directional derivatives in the four compass directions, arranged ...
Kamil A. Khan, Yingwei Yuan
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On locally Lipschitz vector-valued invex functions [PDF]
Bulletin of the Australian Mathematical Society, 1993 The four types of invexity for locally Lipschitz vector-valued functions recently introduced by T. W. Reiland are studied in more detail. It is shown that the class of restricted K-invex in the limit functions is too large to obtain desired optimisation theorems and the other three classes are contained in the class of functions which are invex 0 in ...
Yen, N. D., Sach, P. H.
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Regularity Conditions for Non-Differentiable Infinite Programming Problems using Michel-Penot Subdifferential [PDF]
Control and Optimization in Applied Mathematics, 2016 In this paper we study optimization problems with infinite many inequality constraints on a Banach space where the objective function and the binding constraints are locally Lipschitz.
Nader Kanzi
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Generalizing Generic Differentiability Properties from Convex to Locally Lipschitz Functions [PDF]
, 1994 David Preiss proved that every locally Lipschitz function on an open subset of a Banach space which has an equivalent norm Gâteaux (Fréchet) differentiable away from the origin is Gâteaux (Fréchet) differentiable on a dense subset of its domain.
Sciffer, S., Giles, J.R.
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Optimality Conditions for Properly Efficient Solutions of Nonsmooth Multiobjective GSIP [PDF]
Control and Optimization in Applied MathematicsThis paper aims to establish first-order necessary optimality conditions for non-smooth multi-objective generalized semi-infinite programming problems. These problems involve inequality constraints whose index set depends on the decision vector, and all ...
Ali Asghar Hojatifard +2 more
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Advanced Robotics Research, EarlyView.This work presents a state‐adaptive Koopman linear quadratic regulator framework for real‐time manipulation of a deformable swab tool in robotic environmental sampling. By combining Koopman linearization, tactile sensing, and centroid‐based force regulation, the system maintains stable contact forces and high coverage across flat and inclined surfaces.
Siavash Mahmoudi +2 more
wiley +1 more source
Locally lipschitz cooperative games
, 1981 A locally Lipschitz cooperative generalized game is described by its coalition worth function v defined on the set [0, 1]n of generalized (or fuzzy) coalitions of n players. We assume that v is positively homogeneous and locally Lipschitz. We propose the
Aubin, Jean-Pierre
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