Results 101 to 110 of about 9,586,445 (221)

A Relax Inexact Accelerated Proximal Gradient Method for the Constrained Minimization Problem of Maximum Eigenvalue Functions

Journal of Applied Mathematics, 2014
For constrained minimization problem of maximum eigenvalue functions, since the objective function is nonsmooth, we can use the approximate inexact accelerated proximal gradient (AIAPG) method (Wang et al., 2013) to solve its smooth approximation ...
Wei Wang, Shanghua Li, Jingjing Gao
doaj   +1 more source

Generic Frechet differentiability of convex functions dominated by a lower semicontinuous convex function

, 1998
In this paper, an extended real-valued proper lower semicontinuous convex function f on a Banach space is said to have the Frechet differentiability property (FDP) if every proper lower semicontinuous convex function g with g less than or equal to f is ...
Lee, E. S., Cheng, L. X., Wang, B. W., 程立新, Shi, S. Z.   +4 more
core  

Full analogy of Sharkovsky's theorem for lower semicontinuous maps [PDF]

, 2008
A full analogy of the celebrated Sharkovsky cycle coexistence theorem is established for lower semicontinuous (multivalued) maps on metrizable linear continua.
Andres, Jan, Pastor, Karel, Fürst, Tomáš   +2 more
core   +1 more source

Unbounded Supersolutions of Nonlinear Equations with Nonstandard Growth

Boundary Value Problems, 2007
We show that every weak supersolution of a variable exponent -Laplace equation is lower semicontinuous and that the singular set of such a function is of zero capacity if the exponent is logarithmically Hölder continuous.
Kinnunen Juha, Lukkari Teemu, Harjulehto Petteri   +2 more
doaj  

A note on intersection of lower semicontinuous multifunctions

, 1985
Let F 1 {F_1} and F 2 {F_2} be closed and convex valued multifunctions from a topological space X X to a normed space ...
Alojzy Lechicki, Andrzej Spakowski
core   +1 more source

Classification of Lipschitz Derivatives in Terms of Semicontinuity and the Baire Limit Functions

Annales Mathematicae Silesianae
We introduce the generalized notion of semicontinuity of a function defined on a topological space and derive the useful classification of the so-called Lipschitz derivatives of functions defined on a metric space.
Maslyuchenko Oleksandr V., Wójcicki Ziemowit M.   +1 more
doaj   +1 more source

Maximality Theorems on the Sum of Two Maximal Monotone Operators and Application to Variational Inequality Problems

Abstract and Applied Analysis, 2016
Let X be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space X⁎. Let T:X⊇D(T)→2X⁎ and A:X⊇D(A)→2X⁎ be maximal monotone operators.
Teffera M. Asfaw
doaj   +1 more source

A survey on error bounds for lower semicontinuous functions

, 2003
We survey ancient and recent results on global error bounds for the distance to a sublevel set of a lower semicontinuous function defined on a complete metric space. We emphasize the case of a recent characterization of this property which appeared in
D. Azé
core   +1 more source

Continuous selections for weakly Hausdorff lower semicontinuous multifunctions

, 1985
The existence of continuous selections is proved for a class of weakly Hausdorff lower semicontinuous multifunctions.
J. Myjak, F. S. De Blasi
core   +1 more source

The Generic Failure of Lower-Semicontinuity for the Linear Distortion Functional

Computational Methods and Function Theory
Abstract We consider the convexity properties of distortion functionals, particularly the linear distortion, defined for homeomorphisms of domains in Euclidean n-spaces, $$n\ge 3$$ n ≥ 3
Hashemi, Mohsen, Martin, Gaven J.
openaire   +3 more sources