Results 31 to 40 of about 336 (182)
On lower semicontinuity of the restricted center multifunction
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
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On Caristi Type Maps and Generalized Distances with Applications
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
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Extended Model on Structural Stability and Robustness to Bounded Rationality
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
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Low eigenvalues of the p$p$–Laplacian in general open sets
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
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Inverse Function Theorems and Jacobiansover Metric Spaces
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
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Can Producers’ Price War End Up in an Optimal Allocation?
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
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Identifiability of points and rigidity of hypergraphs under algebraic constraints
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
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Identification in Instrumental Variables Models: The Central Role of Abadie's Kappa
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
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Continuity of the solutions sets for parametric set optimization problems
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
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Lower semicontinuity of nonlocal $L^\infty $ energies on $SBV_0(I)$
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
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