Results 1 to 10 of about 83,411 (73)

Nonlinear analysis in p-vector spaces for single-valued 1-set contractive mappings

Fixed Point Theory and Algorithms for Sciences and Engineering, 2022
The goal of this paper is to develop some fundamental and important nonlinear analysis for single-valued mappings under the framework of p-vector spaces, in particular, for locally p-convex spaces for 0 < p ≤ 1 $0 < p \leq 1$ .
George Xianzhi Yuan
doaj   +1 more source

Fixed point theorems and applications in p-vector spaces

Fixed Point Theory and Algorithms for Sciences and Engineering, 2023
The goal of this paper is to develop new fixed points for quasi upper semicontinuous set-valued mappings and compact continuous (single-valued) mappings, and related applications for useful tools in nonlinear analysis by applying the best approximation ...
George Xianzhi Yuan
doaj   +1 more source

Extending Whitney's extension theorem: nonlinear function spaces [PDF]

, 2020
We consider a global, nonlinear version of the Whitney extension problem for manifold-valued smooth functions on closed domains $C$, with non-smooth boundary, in possibly non-compact manifolds.
Roberts, David Michael, Schmeding, Alexander   +1 more
core   +4 more sources

Quantum Supermaps are Characterized by Locality [PDF]

Quantum
We provide a new characterisation of quantum supermaps in terms of an axiom that refers only to sequential and parallel composition. Consequently, we generalize quantum supermaps to arbitrary monoidal categories and operational probabilistic theories. We
Matt Wilson, Giulio Chiribella, Aleks Kissinger   +2 more
doaj   +1 more source

Controllability on infinite-dimensional manifolds [PDF]

, 2012
Following the unified approach of A. Kriegl and P.W. Michor (1997) for a treatment of global analysis on a class of locally convex spaces known as convenient, we give a generalization of Rashevsky-Chow's theorem for control systems in regular connected ...
A. Isidori, A. Kriegl, A.A. Agrachev, A.A. Agrachev, A.A. Agrachev, A.A. Agrachev, A.A. Agrachev, A.A. Agrachev, A.J. Krener, A.M. Bloch, C. Carathéodory, C. Lobry, C. Lobry, D.L. Elliot, E. Heintze, E.D. Sontag, F. Bullo, G. Frobenius, H. Hermes, H. Hermes, H. Hermes, H. Hermes, H. Hermes, H. Jarchow, H. Nijmeijer, H. Omori, H. Omori, H.J. Sussmann, H.J. Sussmann, H.J. Sussmann, H.J. Sussmann, H.J. Sussmann, Irina Markina, J. Eells, J. Eells, J. Milnor, M. Kawski, M. Kawski, M. Kawski, M. Kawski, M. Kawski, Mahdi Khajeh Salehani, P. Brunovsky, P.E. Crouch, P.I. Dudnikov, P.K. Rashevsky, R. Hermann, R. Hermann, R. Montgomery, R. Palais, R.-M. Bianchini, R.-M. Bianchini, R.E. Kalman, R.E. Kalman, R.E. Kalman, R.S. Hamilton, R.W. Brockett, S. Yamamuro, V. Jurdjevic, V.G. Boltyanski, V.V. Vagner, W.-L. Chow   +61 more
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Character groups of Hopf algebras as infinite-dimensional Lie groups [PDF]

, 2015
In this article character groups of Hopf algebras are studied from the perspective of infinite-dimensional Lie theory. For a graded and connected Hopf algebra we construct an infinite-dimensional Lie group structure on the character group with values in ...
Bogfjellmo, Geir, Dahmen, Rafael, Schmeding, Alexander   +2 more
core   +3 more sources

Locally Nearly Uniformly Convex Points in Orlicz Spaces Equipped with the Luxemburg Norm

Axioms
This research explores two novel geometric concepts—nearly convex points and locally nearly uniformly convex points within the frameworks of Banach spaces and Orlicz spaces equipped with the Luxemburg norm.
Yunan Cui, Xiaoxia Wang, Yaoming Niu
doaj   +1 more source

A generalisation of Nash's theorem with higher-order functionals [PDF]

, 2013
The recent theory of sequential games and selection functions by Mar- tin Escardo and Paulo Oliva is extended to games in which players move simultaneously.
Hedges, Julian
core   +2 more sources

Twisted K-theory, K-homology and bivariant Chern-Connes type character of some infinite dimensional spaces

, 2013
We study the twisted K-theory and K-homology of some infinite dimensional spaces, like SU(\infty), in the bivariant setting. Using a general procedure due to Cuntz we construct a bivariant K-theory on the category of separable \sigma-C^*-algebras that ...
Mahanta, Snigdhayan
core   +1 more source

Functional analysis on two-dimensional local fields

, 2013
We establish how a two-dimensional local field can be described as a locally convex space once an embedding of a local field into it has been fixed. We study the resulting spaces from a functional analytic point of view: in particular we study bounded, c-
Camara, Alberto
core   +1 more source