Results 31 to 40 of about 509 (167)

A Note on the Topological Transversality Theorem for Weakly Upper Semicontinuous, Weakly Compact Maps on Locally Convex Topological Vector Spaces

Mathematics, 2020
A simple theorem is presented that automatically generates the topological transversality theorem and Leray−Schauder alternatives for weakly upper semicontinuous, weakly compact maps. An application is given to illustrate our results.
Donal O’Regan
doaj   +1 more source

Existence of Solutions for Generalized Vector Quasi-Equilibrium Problems by Scalarization Method with Applications

Abstract and Applied Analysis, 2013
The aim of this paper is to study generalized vector quasi-equilibrium problems (GVQEPs) by scalarization method in locally convex topological vector spaces.
De-ning Qu, Cao-zong Cheng
doaj   +1 more source

Explaining the Origin of Negative Poisson's Ratio in Amorphous Networks With Machine Learning

Advanced Intelligent Discovery, EarlyView.
This review summarizes how machine learning (ML) breaks the “vicious cycle” in designing auxetic amorphous networks. By transitioning from traditional “black‐box” optimization to an interpretable “AI‐Physics” closed‐loop paradigm, ML is shown to not only discover highly optimized structures—such as all‐convex polygon networks—but also unveil hidden ...
Shengyu Lu, Xiangying Shen
wiley   +1 more source

Equilibrium points of random generalized games

International Journal of Mathematics and Mathematical Sciences, 1998
In this paper, the concepts of random maximal elements, random equilibria and random generalized games are described. Secondly by measurable selection theorem, some existence theorems of random maximal elements for Lc-majorized correspondences are ...
E. Tarafdar, Xian-Zhi Yuan
doaj   +1 more source

Holomorphic functions on locally convex topological vector spaces. II. Pseudo convex domains [PDF]

Annales de l'Institut Fourier, 1973
In this article we discuss the relationship between domains of existence domains of holomorphy, holomorphically convex domains, pseudo convex domains, in the context of locally convex topological vector spaces. By using the method of Hirschowitz for
openaire   +1 more source

Harnessing Machine Learning to Understand and Design Disordered Solids

Advanced Intelligent Discovery, EarlyView.
This review maps the dynamic evolution of machine learning in disordered solids, from structural representations to generative modeling. It explores how deep learning and model explainability transform property prediction into profound physical insight.
Muchen Wang, Yue Fan
wiley   +1 more source

Regularity in Topological Modules

Mathematics, 2020
The framework of Functional Analysis is the theory of topological vector spaces over the real or complex field. The natural generalization of these objects are the topological modules over topological rings.
Francisco Javier Garcia-Pacheco
doaj   +1 more source

Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley   +1 more source

Maximal elements and equilibria of generalized games for 𝒰-majorized and condensing correspondences

International Journal of Mathematics and Mathematical Sciences, 1999
In this paper, we first give an existence theorem of maximal elements for a new type of preference correspondences which are 𝒰-majorized. Then some existence theorems for compact (resp., non-compact) qualitative games and generalized games in which the ...
George Xian-Zhi Yuan, E. Tarafdar
doaj   +1 more source

Multispectral Concentric Grafted Perfect Vector Vortex Beam

Laser &Photonics Reviews, EarlyView.
Multispectral structured light offers powerful opportunities for increasing information capacity. A multispectral concentric grafted perfect vector vortex beam is proposed to engineer topological charges and polarization. A metasurface can graft different perfect vector vortex beams across concentric spatial regions and extend this concept to ...
Guanchao Wang, Hammad Ahmed, Chunmei Zhang, Yu Wang, Xiuyou Han, Li Li, Xianzhong Chen   +6 more
wiley   +1 more source