The Wu metric is not upper semicontinuous [PDF]
In this article a question asked in [\textit{M. Jarnicki} and \textit{P. Pflug}, Proc. Am. Math. Soc. 133, 239--244 (2005; Zbl 1051.32009)] is discussed, namely: Are the Wu metrics, associated to the Azukawa and the Kobayashi metric, respectively, upper semicontinuous?
openaire +2 more sources
Fuzzy‐Fractional Modeling and Analysis of Tobacco Smoking Dynamics via He–Laplace–Carson Framework
This study develops a fuzzy‐fractional nonlinear tobacco smoking model by incorporating triangular fuzzy numbers and Caputo fractional derivative. The He–Laplace–Carson algorithm is used to solve and analyze the uncertainties and memory dependent effects involved in potential smokers, mild smokers, regular smokers, and quit smokers.
Mubashir Qayyum +5 more
wiley +1 more source
Connectedness and Contractibility of Solutions in Set Optimization Under Set Less Order Relations
This study establishes the topological properties of solution sets in set optimization, focusing on their connectedness and contractibility. Utilizing the arcwise convexity and lower semicontinuity characteristics derived from scalarization techniques, we initially prove the connectedness of solution sets containing both weak and standard approximate ...
Taiyong Li, Manli Yang, Zai Yun Peng
wiley +1 more source
Upper Semicontinuity of Attractors for Small Random Perturbations of Dynamical Systems [PDF]
The relationship between random attractors and global attractors for dynamical systems is studied. If a partial differential equation is perturbed by an ²¡small random term and certain hypotheses are satisfied, the upper semicontinuity of the random ...
Robinson, James C. +2 more
core +1 more source
Nonautonomous attractors of skew-product flows with digitized driving systems
The upper semicontinuity and continuity properties of pullback attractors for nonautonomous differential equations are investigated when the driving system of the generated skew-product flow is digitized.
R. A. Johnson, Peter E. Kloeden
doaj
Equilibrium Existence in First‐Price Auctions With Private Values
We provide sufficient conditions for equilibrium existence in first‐price auctions with private values that accommodate non quasi‐linear utilities and value‐distributions that contain atoms and exhibit positive or negative correlation. These conditions show that equilibrium existence often turns on properties of a single statistic of the joint ...
Wojciech Olszewski +2 more
wiley +1 more source
UPPER SEMICONTINUITY OF THE ATTRACTOR FOR LATTICE DYNAMICAL SYSTEMS OF PARTLY DISSIPATIVE REACTION-DIFFUSION SYSTEMS [PDF]
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 l 2 × l 2 .
Ahmed Y Abdallah
core
Maximal elements of quasi upper semicontinuous preorders on compact spaces [PDF]
We introduce the concept of quasi upper semicontinuity of a not necessarily total preorder on a topological space and we prove that there exists a maximal element for a preorder on a compact topological space provided that it is quasi upper ...
ZUANON, Magali Ernestine, Bosi, Gianni
core +4 more sources
Existence and continuity of global attractors for a degenerate semilinear parabolic equation
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
Semicontinuity of the Solution Mapping to a Parametric Generalized Weak Ky Fan Inequality
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
doaj +1 more source

