Results 51 to 60 of about 430 (171)

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

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

Nonlinear error bounds for quasiconvex inequality systems

, 2017
The error bound is an inequality that restricts the distance from a vector to a given set by a residual function. The error bound has so many useful applications, for example in variational analysis, in convergence analysis of algorithms, in sensitivity ...
Kuroiwa, Daishi, Suzuki, Satoshi
core   +1 more source

On Characterizations of Solution Sets of Interval-Valued Quasiconvex Programming

, 2023
In this article, we study several characterizations of solution sets of LU-quasiconvex interval-valued function. Firstly, we provide Gordan’s theorem of the alternative of interval-valued linear system.
Shashi Kant Mishra, Sanjeev Kumar Singh, Mohd Hassan   +2 more
core   +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

Duality for the level sum of quasiconvex functions and applications

, 2002
We study a quasiconvex conjugation that transforms the level sum of functions into the pointwise sum of their conjugates and derive new duality results for the minimization of the max of two quasiconvex functions.
M. Volle
core   +1 more source

Rotundity properties, and non-extendability of Lipschitz quasiconvex functions

, 2023
Let A be an open convex subset of a real normed linear space X. We prove that if the boundary of A contains a non-LUR point then there exists a Lipschitz quasiconvex function f : A → R not admitting any continuous quasiconvex extension to the whole ...
C. A. De Bernardi, L. Vesely
core   +1 more source

Partial regularity for $$\omega $$-minimizers of quasiconvex functionals

Calculus of Variations and Partial Differential Equations, 2022
AbstractWe establish partial regularity for the$$\omega $$ω-minimizers of quasiconvex functionals of power growth. A first-order partial regularity result ofBV$$\omega $$ω-minimizers is obtained in the linear growth case under a Dini-type condition on$$\omega $$ω.
openaire   +3 more sources

Partial regularity for variational integrals with Morrey–Hölder zero‐order terms, and the limit exponent in Massari's regularity theorem

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract We revisit the partial C1,α$\mathrm{C}^{1,\alpha }$ regularity theory for minimizers of non‐parametric integrals with emphasis on sharp dependence of the Hölder exponent α$\alpha$ on structural assumptions for general zero‐order terms. A particular case of our conclusions carries over to the parametric setting of Massari's regularity theorem ...
Thomas Schmidt, Jule Helena Schütt
wiley   +1 more source

Optimization problems with quasiconvex inequality constraints [PDF]

The constrained optimization problem min f(x), gj(x) 0 (j = 1, . . . , p) is considered, where f : X ! R and gj : X ! R are nonsmooth functions with domain X Rn.
Ginchev Ivan, Ivanov Vsevolod
core