Results 1 to 10 of about 3,068 (107)
The spherical image of singular varieties of bounded mean curvature [PDF]
, 2020 In this paper we deal with singular varieties of bounded mean curvature in the viscosity sense. They contain all varifolds of bounded generalized mean curvature.
Santilli, Mario
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Finite Chainability, Locally Lipschitzian and Uniformly Continuous Functions
Zeitschrift für Analysis und ihre Anwendungen, 1998 We present a notion of a finitely chainable subset of a metric space X . We show that Y is a finitely chainable subset of ...
MARINO, Giuseppe +2 more
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Fréchet differentiability of regular locally Lipschitzian functions
Journal of Mathematical Analysis and Applications, 1991 Locally Lipschitzian regular (i.e. the one sided directional derivative exists and equals the generalized directional derivative) real-valued functions defined on open subsets of separable Banach spaces are considered. For any such function it is shown that Clarke's generalized gradient is a minimal, convex and compact valued upper semicontinuous multi-
Gieraltowska-Kedzierska, Maria +1 more
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Application of reduced-set pareto-lipschitzian optimization to truss optimization [PDF]
, 2015 In this paper, a recently proposed global Lipschitz optimization algorithm Pareto-Lipschitzian Optimization with Reduced-set (PLOR) is further developed, investigated and applied to truss optimization problems.
Mockus, J +4 more
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Abstract and Applied Analysis, 2014 We study nonsmooth generalized complementarity problems based on the generalized Fisher-Burmeister function and its generalizations, denoted by GCP(f,g) where f and g are H-differentiable.
Wei-Zhe Gu, Mohamed A. Tawhid
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A Sobolev Poincar\'e type inequality for integral varifolds [PDF]
, 2009 In this work a local inequality is provided which bounds the distance of an integral varifold from a multivalued plane (height) by its tilt and mean curvature.
E.M. Stein +10 more
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On the stabilization problem for nonholonomic distributions [PDF]
, 2008 Let $M$ be a smooth connected and complete manifold of dimension $n$, and $\Delta$ be a smooth nonholonomic distribution of rank $m\leq n$ on $M$. We prove that, if there exists a smooth Riemannian metric on $\Delta$ for which no nontrivial singular path
Rifford, Ludovic, Trélat, Emmanuel
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Discrete Approximations of a Controlled Sweeping Process [PDF]
, 2014 The paper is devoted to the study of a new class of optimal control problems governed by the classical Moreau sweeping process with the new feature that the polyhe- dral moving set is not fixed while controlled by time-dependent functions.
B. S., Mordukhovich +3 more
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Second-order subdifferential calculus with applications to tilt stability in optimization [PDF]
, 2011 The paper concerns the second-order generalized differentiation theory of variational analysis and new applications of this theory to some problems of constrained optimization in finitedimensional spaces. The main attention is paid to the so-called (full
Mordukhovich, B. S., Rockafellar, R. T.
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Hybrid Newton-type method for a class of semismooth equations [PDF]
, 2002 In this paper, we present a hybrid method for the solution of a class of composite semismooth equations encountered frequently in applications. The method is obtained by combining a generalized finite-difference Newton method to an inexpensive direct ...
A. Fischer +28 more
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