Results 1 to 10 of about 265,755 (161)
Uniformly continuous composition operators in the space of bounded Φ-variation functions in the Schramm sense [PDF]
Opuscula Mathematica, 2012 We prove that any uniformly continuous Nemytskii composition operator in the space of functions of bounded generalized \(\Phi\)-variation in the Schramm sense is affine. A composition operator is locally defined.
Tomás Ereú +3 more
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Iterative methods for monotone nonexpansive mappings in uniformly convex spaces
Advances in Nonlinear Analysis, 2021 We show the nonlinear ergodic theorem for monotone 1-Lipschitz mappings in uniformly convex spaces: if C is a bounded closed convex subset of an ordered uniformly convex space (X, ∣·∣, ⪯), T:C → C a monotone 1-Lipschitz mapping and x ⪯ T(x), then the ...
Shukla Rahul, Wiśnicki Andrzej
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Bounded cohomology and non-uniform perfection of mapping class groups [PDF]
, 2000 .Using the existence of certain symplectic submanifolds in symplectic 4-manifolds, we prove an estimate from above for the number of singular fibers with separating vanishing cycles in minimal Lefschetz fibrations over surfaces of positive genus.
Hisaaki Endo, D. Kotschick
semanticscholar +3 more sources
Bifurcation behaviors shape how continuous physical dynamics solves discrete Ising optimization
Nature Communications, 2023 Simulating physical dynamics to solve hard combinatorial optimization has proven effective for medium- to large-scale problems. The dynamics of such systems is continuous, with no guarantee of finding optimal solutions of the original discrete problem ...
Juntao Wang +4 more
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Complexity, 2019 This paper proposes a new scheme for solving finite time neural networks adaptive tracking control issue for the nonaffine pure-feedback nonlinear system.
Jianhua Zhang +3 more
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Uniformly continuous 1-1 functions on ordered fields not mapping interior to interior [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2008 In an earlier work we showed that for ordered fields F not isomorphic to the reals R, there are continuous 1-1 unctions on [0, 1]F which map some interior point to a boundary point of the image (and so are not open).
Mojtaba Moniri, Jafar S. Eivazloo
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Fixed Point Theory and Applications, 2011 Abkar and Eslamian (Nonlinear Anal. TMA, 74, 1835-1840, 2011) prove that if K is a nonempty bounded closed convex subset of a complete CAT(0) space X, t : K → K is a single-valued quasi-nonexpansive mapping and T : K → KC(K) is a multivalued ...
Laowang Worawut, Panyanak Bancha
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Generic uniformly continuous mappings on unbounded hyperbolic spaces [PDF]
Journal of Mathematical Analysis and Applications, 2023 We consider a complete, unbounded, hyperbolic metric space $X$ and a concave, nonzero and nondecreasing function $\omega:[0,+\infty)\to[0,+\infty)$ with $\omega(0)=0$ and study the space $\mathcal{C}_\omega(X)$ of uniformly continous self-mappings on $X$
Davide Ravasini
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Totally bounded remainders of uniform spaces and samuel compactification of uniformly continuous mappings [PDF]
AIP Conference Proceedings, 2021 In this work we study totally bounded remainders of uniform spaces and Samuel compactification of uniformly continuous mappings.
Kanetov, B. E. +2 more
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Uniformly bounded maximal $\varphi$-disks, Bers space and harmonic maps [PDF]
Proceedings of the American Mathematical Society, 2000 Associated to any holomorphic function \(\varphi\) defined in the unit disc \(\Delta\) and any point \(z_0\) in \(\Delta\) at which \(\varphi(z_0)\neq 0\), a natural parameter \(w\) is defined by \[ w=\Phi(z)= \int^z_{z_0} \sqrt{\varphi (z)}dz. \] \(R_{z_0}(\varphi)\) is defined to be the largest Euclidean radius of a disc \(U\) in the \(w\)-plane such
Anić, I. +2 more
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