Results 41 to 50 of about 130 (118)

Approximate Convexity of Set-Valued Mappings and Variational Inequalities

Mathematics
In this article, we introduce the notion of approximate convexity for set-valued mappings, specifically in the forms of approximate pseudoconvexity and approximate quasiconvexity.
Dalal Alhwikem
doaj   +1 more source

Quantitative Fundamental Theorem of Asset Pricing

Mathematical Finance, Volume 35, Issue 3, Page 636-660, July 2025.
ABSTRACT In this paper, we provide a quantitative analysis of the concept of arbitrage, that allows us to deal with model uncertainty without imposing the no‐arbitrage condition. In markets that admit “small arbitrage,” we can still make sense of the problems of pricing and hedging.
Beatrice Acciaio, Julio Backhoff‐Veraguas, Gudmund Pammer   +2 more
wiley   +1 more source

Subgroups of word hyperbolic groups in dimension 2 over arbitrary rings

Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.
Abstract In 1996, Gersten proved that finitely presented subgroups of a word hyperbolic group of integral cohomological dimension 2 are hyperbolic. We use isoperimetric functions over arbitrary rings to extend this result to any ring. In particular, we study the discrete isoperimetric function and show that its linearity is equivalent to hyperbolicity,
Shaked Bader, Robert Kropholler, Vladimir Vankov   +2 more
wiley   +1 more source

Starlikeness, Convexity, Close-to-Convexity, and Quasi-Convexity for Functions with Fixed Initial Coefficients

Axioms
In this paper, we employ the theory of differential subordination to establish a theorem that delineates certain sufficient conditions for starlikeness, convexity, close-to-convexity, and quasi-convexity in relation to functions with fixed initial ...
Mohanad Kadhim Ahmed Alkarafi, Ali Ebadian, Saeid Shams   +2 more
doaj   +1 more source

Quasiconvex Functions and Hessian Equations [PDF]

Archive for Rational Mechanics and Analysis, 2003
Let \(S^{n\times n}\) denote the set of symmetric matrices. A continuous function \(f:S^{n\times n}\rightarrow\mathbb{R}\) is said to be quasiconvex (according to \textit{C. B. Morrey jun.} [Pac. J. Math. 2, 25--53 (1952; Zbl 0046.10803)]) if for any \(A\in S^{n\times n}\) and any smooth compactly supported function \(\varphi:\Omega\rightarrow\mathbb{R}
Faraco, Daniel, Zhong, Xiao
openaire   +2 more sources

Anticomonotonicity for preference axioms: The natural counterpart to comonotonicity

Theoretical Economics, Volume 20, Issue 3, Page 831-855, July 2025.
Comonotonicity (same variation) of random variables minimizes hedging possibilities and has been widely used, e.g., in Gilboa and Schmeidler's ambiguity models. This paper investigates anticomonotonicity (opposite variation (AC)), the natural counterpart to comonotonicity. It minimizes leveraging rather than hedging possibilities.
Giulio Principi, Peter P. Wakker, Ruodu Wang   +2 more
wiley   +1 more source

Equivalence of coercivity and mean coercivity in higher-order variational integrals with application to minimization

Journal of Inequalities and Applications
We consider a functional of the type F ( u , Ω ) = ∫ Ω F ( D k u ( x ) ) d x $\mathcal{F}(u,\Omega )=\int _{\Omega}F\big(D^{k}u(x)\big)dx$ on the Dirichlet class, where F is a continuous function and Ω is an open bounded set of R n $\mathbb{R}^{n}$ with ...
Xiaoying He, Chuei Yee Chen
doaj   +1 more source

Structure of quasiconvex virtual joins

Journal of Topology, Volume 18, Issue 2, June 2025.
Abstract Let G$G$ be a relatively hyperbolic group and let Q$Q$ and R$R$ be relatively quasiconvex subgroups. It is known that there are many pairs of finite index subgroups Q′⩽fQ$Q^{\prime } \leqslant _f Q$ and R′⩽fR$R^{\prime } \leqslant _f R$ such that the subgroup join ⟨Q′,R′⟩$\langle Q^{\prime }, R^{\prime } \rangle$ is also relatively quasiconvex,
Lawk Mineh
wiley   +1 more source

Relative cubulation of relative strict hyperbolization

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract We prove that many relatively hyperbolic groups obtained by relative strict hyperbolization admit a cocompact action on a CAT(0)$\operatorname{CAT}(0)$ cubical complex. Under suitable assumptions on the peripheral subgroups, these groups are residually finite and even virtually special.
Jean‐François Lafont, Lorenzo Ruffoni
wiley   +1 more source

Quasiconvexity in the Riemannian setting

Rendiconti Lincei, Matematica e Applicazioni
We introduce a notion of quasiconvexity for continuous functions f defined on the vector bundle of linear maps between the tangent spaces of a smooth Riemannian manifold (M,g)
A. Corbisiero, C. Leone, C. Mantegazza
openaire   +3 more sources