Results 31 to 40 of about 336 (182)

On lower semicontinuity of the restricted center multifunction

open access: yesJournal of Numerical Analysis and Approximation Theory, 2009
Given a finite dimensional subspace \(V\) and a certain family \({\mathcal F}\) of nonempty closed and bounded subsets of \( {\mathcal C}_0(T,U)\), where \(T\) is a locally compact Hausdorff space and \(U\) is a strictly convex Banach space, we ...
Devidas Pai
doaj   +2 more sources

On Caristi Type Maps and Generalized Distances with Applications

open access: yesAbstract and Applied Analysis, 2013
We prove some new existence theorems of fixed points for Caristi type maps and some suitable generalized distances without lower semicontinuity assumptions on dominated functions.
Wei-Shih Du
doaj   +1 more source

Extended Model on Structural Stability and Robustness to Bounded Rationality

open access: yesComplexity, 2021
In this article, we focus on an extended model M¯ of bounded rationality. Based on a rationality function with lower semicontinuity, we analyze the relationship between structural stability and robustness of Ω¯.
Yi Liao   +4 more
doaj   +1 more source

Low eigenvalues of the p$p$–Laplacian in general open sets

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract We consider the minmax Ljusternik–Schnirelmann levels of the constrained p$p$–Dirichlet integral on a general open set of the Euclidean space. We show that, whenever one of these levels lies below the threshold given by the Lp$L^p$ Poincaré constant “at infinity,” it actually defines an eigenvalue of the Dirichlet p$p$–Laplacian. We also prove
Lorenzo Brasco   +2 more
wiley   +1 more source

Inverse Function Theorems and Jacobiansover Metric Spaces

open access: yesAnalysis and Geometry in Metric Spaces, 2014
We present inversion results for Lipschitz maps f : Ω ⊂ ℝN → (Y, d) and stability of inversionfor uniformly convergent sequences. These results are based on the Area Formula and on the l.s.c. of metricJacobians.
Granieri Luca
doaj   +1 more source

Can Producers’ Price War End Up in an Optimal Allocation?

open access: yesMathematics, 2022
The paper presents a theoretical framework for the phenomenon of the price war in the context of general equilibrium, with special attention to the production system.
Marta Kornafel
doaj   +1 more source

Identifiability of points and rigidity of hypergraphs under algebraic constraints

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract The identifiability problem arises naturally in a number of contexts in mathematics and computer science. Specific instances include local or global rigidity of graphs and unique completability of partially‐filled tensors subject to rank conditions.
James Cruickshank   +3 more
wiley   +1 more source

Identification in Instrumental Variables Models: The Central Role of Abadie's Kappa

open access: yesEconometrica, Volume 94, Issue 4, Page 1095-1133, July 2026.
We study instrumental variables models characterized by: (i) Unobserved heterogeneity consisting of potential outcomes and response types that describe how the instrument determines treatment choice; (ii) Conditional independence of the instrument and the unobserved heterogeneity; and (iii) Convex restrictions on the distribution of unobserved ...
Manu Navjeevan   +2 more
wiley   +1 more source

Continuity of the solutions sets for parametric set optimization problems

open access: yesJournal of Inequalities and Applications
The current study focuses on exploring the stability of solution sets pertaining to set optimization problems, particularly with regard to the set order relation outlined by Karaman et al. 2018.
Manli Yang, Taiyong Li, Guanghui Xu
doaj   +1 more source

Lower semicontinuity of nonlocal $L^\infty $ energies on $SBV_0(I)$

open access: yesComptes Rendus. Mathématique
We characterize the lower-semicontinuity of nonlocal one-dimensional energies of the type \[ \operatorname{ess\;sup}_{(s,t) \in I\times I} h\bigl ([u](s), [u](t)\bigr ), \] where $I$ is an open and bounded interval in the real line, $u \in \mathit{SBV_ ...
Matias, José   +2 more
doaj   +1 more source

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