Results 61 to 70 of about 91,721 (301)
The characteristic of noncompact convexity and random fixed point theorem for set-valued operators [PDF]
summary:Let $(\Omega ,\Sigma )$ be a measurable space, $X$ a Banach space whose characteristic of noncompact convexity is less than 1, $C$ a bounded closed convex subset of $X$, $KC(C)$ the family of all compact convex subsets of $C.$ We prove that a set-
Lorenzo Ramírez, Josefa +5 more
core +1 more source
This note deals with the optimality conditions of approximate solutions in set-valued optimization problems involving generalized arcwise connected convexity in terms of the contingent epiderivative.
YU Guo-Lin, KONG Xiang-Yu, LI Ji-Min
doaj
Reciprocal control of viral infection and phosphoinositide dynamics
Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
wiley +1 more source
Continuous Selections For Almost Lower Semicontinuous Multifunctions [PDF]
[[abstract]]In this paper, we obtain several new continuous selection theorems for almost lower semicontinuous multifunctions T on a paracompact topological space X, in the general noncompact and/or nonconvex settings.
黃建豪, Chien-Hao Huang
core
Set Mapping in the Method of Imprecision [PDF]
The Method of Imprecision, or MoI, is a semi-automated set-based approach which uses mathematics of fuzzy sets to aid the designer making decisions with imprecise information in the preliminary design stage.
Wang, Xiaoou
core +1 more source
Invariant Measures of Set-Valued Maps
The author remarks that standard definition of an invariant measure requires that the function be univalued. However, recent applications [cf. \textit{Z. Artstein}, J. Differential Equations 152, No. 2, 289-307 (1999; Zbl 0923.34013)] have raised the need for an analogous notion of invariant measures for multifunctions.
openaire +1 more source
Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho +3 more
wiley +1 more source
A Sard theorem for tame set-valued mappings
If F is a set-valued mapping from Rn into Rm with closed graph, then y∈Rm is a critical value of F if for some x with y∈F(x), F is not metrically regular at (x,y).
Ioffe, A.
core +1 more source
Global and Pullback Attractors of Set-Valued Skew Product Flows [PDF]
We investigate the asymptotic behaviour of a general set-valued skew product flow (SVSPF), that is, a set-valued cocycle mapping (coming from a nonautonomous differential equation or inclusion) driven by another, autonomous,system.
Kloeden, Peter E. +2 more
core +1 more source
Phosphatidylinositol 4‐kinase as a target of pathogens—friend or foe?
This graphical summary illustrates the roles of phosphatidylinositol 4‐kinases (PI4Ks). PI4Ks regulate key cellular processes and can be hijacked by pathogens, such as viruses, bacteria and parasites, to support their intracellular replication. Their dual role as essential host enzymes and pathogen cofactors makes them promising drug targets.
Ana C. Mendes +3 more
wiley +1 more source

