Results 81 to 90 of about 281 (199)

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, Van Vleck, F.S   +1 more
openaire   +1 more source

Variation of parameters and initial time difference Lipschitz stability of impulsive differential equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 3, Page 3496-3508, February 2025.
In this paper, we investigate the Lipschitz stability of a perturbed impulsive differential system concerning the unperturbed system. We employ the variation of parameters or the constant of variation for impulsive differential systems with an initial time difference.
Saliha Demirbüken, Coşkun Yakar
wiley   +1 more source

Topological Properties of the Approximate Subdifferential [PDF]

, 2005
The approximate subdifferential introduced by Mordukhovich has attracted much attention in recent works on nonsmooth optimization. Potential advantages over other concepts of subdifferentiability might be related to its non-convexity.
Henrion, René
core   +1 more source

Fractional Newton‐type integral inequalities by means of various function classes

Mathematical Methods in the Applied Sciences, Volume 48, Issue 1, Page 1198-1215, 15 January 2025.
The authors of the paper present a method to examine some Newton‐type inequalities for various function classes using Riemann‐Liouville fractional integrals. Namely, some fractional Newton‐type inequalities are established by using convex functions.
Fatih Hezenci, Hüseyin Budak
wiley   +1 more source

A Variational Formulation for Modeling a Fluid Motion in an Euler–Bernoullian Context: A Detailed Development

The Journal of Engineering, Volume 2025, Issue 1, January/December 2025.
ABSTRACT This article develops a variational formulation for modeling a compressible electronic fluid motion. The results are based on standard tools of calculus of variations and optimization theory. Moreover, the context here addressed is essentially an Euler–Bernoullian one and includes also a new approximate Bernoulli‐perfect‐gas equation. Finally,
Fabio Silva Botelho
wiley   +1 more source

Local Tuning in Nested Scheme of Global Optimization [PDF]

, 2015
Numerical methods for global optimization of the multidimensional multiextremal functions in the framework of the approach oriented at dimensionality reduction by means of the nested optimization scheme are considered.
Israfilov, Ruslan, Grishagin, Vladimir, Gergel, Victor   +2 more
core   +1 more source

Some new integral inequalities for Lipschitzian functions

An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 2018
This paper is about obtaining some new type of integral inequalities for functions from the Lipschitz class. For this, some new integral inequalities related to the differences between the two different types of integral averages for Lipschitzian functions are obtained. Moreover, applications for some special means as arithmetic, geometric, logarithmic,
can, mdat, Kadakal, Mahir, Ayd n, Alper
openaire   +1 more source

Carnot rectifiability and Alberti representations

Proceedings of the London Mathematical Society, Volume 130, Issue 1, January 2025.
Abstract A metric measure space is said to be Carnot‐rectifiable if it can be covered up to a null set by countably many bi‐Lipschitz images of compact sets of a fixed Carnot group. In this paper, we give several characterisations of such notion of rectifiability both in terms of Alberti representations of the measure and in terms of differentiability ...
G. Antonelli, E. Le Donne, A. Merlo
wiley   +1 more source

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

Fractal 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, Shumin Li, Hüseyin Budak, Artion Kashuri, Loredana Ciurdariu   +4 more
doaj   +1 more source

Topological Properties of the Approximate Subdifferential [PDF]

, 1994
The approximate subdifferential introduced by Mordukhovich has attracted much attention in recent works on nonsmooth optimization. Potential advantages over other concepts of subdifferentiability might be related to its non-convexity.
René Henrion
core