Results 91 to 100 of about 73,971 (227)
Analytic mappings of the unit disk which almost preserve hyperbolic area
Proceedings of the London Mathematical Society, Volume 129, Issue 5, November 2024.Abstract In this paper, we study analytic self‐maps of the unit disk which distort hyperbolic areas of large hyperbolic disks by a bounded amount. We give a number of characterizations involving angular derivatives, Lipschitz extensions, Möbius distortion, the distribution of critical points and Aleksandrov–Clark measures.
Oleg Ivrii, Artur Nicolau
wiley +1 more source
Semicontinuity of the Solution Mapping to a Parametric Generalized Weak Ky Fan Inequality
Abstract and Applied Analysis, 2014 Under new assumptions, which do not contain any information about the solution set, the upper and lower semicontinuity of the solution mapping to a class of parametric generalized weak Ky Fan inequality are established by using a nonlinear scalarization ...
Y. D. Xu
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Proceedings of the London Mathematical Society, Volume 129, Issue 5, November 2024.Abstract We construct a differentiable locally Lipschitz function f$f$ in RN$\mathbb {R}^{N}$ with the property that for every convex body K⊂RN$K\subset \mathbb {R}^N$ there exists x¯∈RN$\bar{x} \in \mathbb {R}^N$ such that K$K$ coincides with the set ∂Lf(x¯)$\partial _L f(\bar{x})$ of limits of derivatives {Df(xn)}n⩾1$\lbrace Df(x_n)\rbrace _{n ...
Aris Daniilidis +2 more
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Existence and continuity of global attractors for a degenerate semilinear parabolic equation
Electronic Journal of Differential Equations, 2009 In this article, we study the existence and the upper semicontinuity with respect to the nonlinearity and the shape of the domain of global attractors for a semilinear degenerate parabolic equation involving the Grushin operator.
Cung The Anh, Tran Dinh Ke
doaj
Journal of Applied Mathematics, 2005 We investigate the existence of a global attractor and its upper semicontinuity for the infinite-dimensional lattice dynamical system of a partly dissipative reaction diffusion system in the Hilbert space l2×l2.
Ahmed Y. Abdallah
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Saddle point theorems on generalized convex spaces
Journal of Inequalities and Applications, 2000 A sharpened extension of Komiya's saddle point theorem is obtained for generalized convex spaces. Moreover, we show that convexity of the involved sets in his theorem can be replaced by acyclicity, and continuity of the involved functions by lower and ...
Park Sehie, Kim In-sook
doaj
Structural Changes in Nonlocal Denoising Models Arising Through Bi-Level Parameter Learning. [PDF]
Appl Math Optim, 2023 Davoli E +3 more
europepmc +1 more source
On the upper semicontinuity of a quasiconcave functional [PDF]
arXiv, 2019 In the recent paper \cite{SER}, the second author proved a divergence-quasiconcavity inequality for the following functional $ \mathbb{D}(A)=\int_{\mathbb{T}^n} det(A(x))^{\frac{1}{n-1}}\,dx$ defined on the space of $p$-summable positive definite matrices with zero divergence. We prove that this implies the weak upper semicontinuity of the functional $\
arxiv
Upper semicontinuous fuzzy sets and applications
Journal of Mathematical Analysis and Applications, 1980 AbstractLet (X, τ) be a generalized topological space of type Vα (see A. Appert and K. Fan, “Espaces topologiques intermédiares,” Herman, Paris, 1951) and (L, ⩽) be a complete Brouwerian lattice such that the dual lattice of (L, ⩽) is also Brouwerian. We prove that every upper semicontinuous L-fuzzy subset of X can be represented by a τ-closed random ...
openaire +2 more sources
On the existence of efficient solutions to vector optimization problem of traffic flow on network
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2009 We studied traffic flow models in vector-valued optimization statement where the flow is controlled at the nodes of network. We considered the case when an objective mapping possesses a weakened property of upper semicontinuity and made no assumptions on
T. A. Bozhanova
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