Results 51 to 60 of about 5,154,853 (135)

Isolated zeros of Lipschitzian metrically regular ℝn-functions

open access: yes, 2001
Given a metrically regular locally Lipschitzian function sending $_{ℝn}$ into $_{ℝm}$,the structure of the preimages will be studied. In particular, for the case of m =n, it will be shown that all preimages are locally finite sets provided that the ...
Fusek, Peter
core   +1 more source

Uniform Asymptotic Stability of a PDE'S System Arising From a Flexible Robotics Model

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 11242-11251, 30 July 2025.
ABSTRACT In this paper, we investigate the uniform asymptotic stability of a fourth‐order partial differential equation with a fading memory forcing term and boundary conditions arising from a flexible robotics model. To achieve this goal, the model is reformulated in an abstract framework using the C0$$ {C}_0 $$‐semigroup theory.
Tiziana Cardinali   +2 more
wiley   +1 more source

Tropical analysis: With an application to indivisible goods

open access: yesTheoretical Economics, Volume 20, Issue 3, Page 815-829, July 2025.
We establish the subgradient theorem for monotone correspondences: a monotone correspondence is equal to the subdifferential of a potential if and only if it is conservative, i.e., its integral along a closed path vanishes irrespective of the selection from the correspondence along the path.
Nicholas C. Bedard, Jacob K. Goeree
wiley   +1 more source

Smooth extensions of Lipschitzian real functions

open access: yes, 1988
In this short note we point out that any Lipschitzian real function f f defined in a subset K K of a Banach space E E , with span ¯
Biagio Ricceri
core   +1 more source

Lipschitzian vector fields, upper gradients and distributional derivatives [PDF]

open access: yes
We prove that given a locally integrable function fon an open set of an Euclidean space the distributional derivative Xfwith respect to a locally Lipschitzian vector field Xis locally integrable if, and only if, the function fadmits a locally integrable ...
Venturini, Sergio
core   +1 more source

Lipschitzian subspaces in Clifford algebras [PDF]

open access: yes, 2011
In every Clifford algebra Cℓ(V,q) there is a Lipschitz monoid Lip(V,q) which in general is the multiplicative monoid (or semi-group) generated by V in Cℓ(V,q); its even and odd components are closed irreducible algebraic submanifolds. When dim(V)⩽3, they
Jacques Helmstetter   +1 more
core   +1 more source

Refined Error Estimates for Milne–Mercer-Type Inequalities for Three-Times-Differentiable Functions with Error Analysis and Their Applications

open access: yesFractal and Fractional
In this study, we examine the error bounds related to Milne-type inequalities and a widely recognized Newton–Cotes method, originally developed for three-times-differentiable convex functions within the context of Jensen–Mercer inequalities. Expanding on
Arslan Munir   +4 more
doaj   +1 more source

Convergence of iterates with errors of uniformly quasi-Lipschitzian mappings in cone metric spaces [PDF]

open access: yes, 2011
The aim of this paper is to consider an Ishikawa type iteration process with errors to approximate the fixed point of two uniformly quasi-Lipschitzian mappings in cone metric spaces. We also extend some fixed point results of these mappings from complete
Đukić, Dušan   +2 more
core  

Lipschitzian Solutions of Perturbed Nonlinear-programming Problems [PDF]

open access: yes, 1986
This is the publisher's version, also available electronically from http://epubs.siam.org/doi/abs/10.1137/0324068.We prove that if a second order sufficient condition and a constraint regularity assumption hold, then for sufficiently small perturbations ...
Cornet, Bernard   +3 more
core   +1 more source

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