Results 91 to 100 of about 130 (118)
Some of the next articles are maybe not open access.
Conditions for Convexity of Quasiconvex Functions
Mathematics of Operations Research, 1980Necessary and sufficient conditions for convexity of lower semi-continuous quasiconvex functions are given. By applying these results to positively homogeneous functions it is shown that if f is a quadratic form which is quasiconvex on a convex C then f is convexifiable, that is, there exists a strictly increasing function k such that k ∘ f is convex.
openaire +2 more sources
1998
This chapter complements Chapter 4 by using Chapter 5 in order to enlarge the class of location problems that can be solved by the ellipsoid method. Section 6.1 justifies the reason for considering quasiconvex disutility functions in location modeling and Section 6.2 details a quasiconvex location model. Finally, Section 6.3 presents some computational
openaire +1 more source
This chapter complements Chapter 4 by using Chapter 5 in order to enlarge the class of location problems that can be solved by the ellipsoid method. Section 6.1 justifies the reason for considering quasiconvex disutility functions in location modeling and Section 6.2 details a quasiconvex location model. Finally, Section 6.3 presents some computational
openaire +1 more source
Quasiconvexity and Rank-One Convexity in Cosserat Elasticity Theory
Advanced Structured Materials, 2022David Steigmann +2 more
exaly
2008
A \textit{length space} is a metric space \((X, d)\) such that, for all \(x, y\in X, d(x, y) = \inf_{\gamma}\text{ length}(\gamma)\), where \(\gamma\) is a path from \(x\) to \(y\) in \(X\). The authors state, ``Quasiconvex spaces are precisely the spaces which are bilipschitz equivalent to length spaces.'' The precise definition is this: \((X, d)\) is
Hakobyan, Hrant, Herron, David A.
openaire +2 more sources
A \textit{length space} is a metric space \((X, d)\) such that, for all \(x, y\in X, d(x, y) = \inf_{\gamma}\text{ length}(\gamma)\), where \(\gamma\) is a path from \(x\) to \(y\) in \(X\). The authors state, ``Quasiconvex spaces are precisely the spaces which are bilipschitz equivalent to length spaces.'' The precise definition is this: \((X, d)\) is
Hakobyan, Hrant, Herron, David A.
openaire +2 more sources
Quasiconvexity preserving property for fully nonlinear nonlocal parabolic equations
Nonlinear Differential Equations and Applications, 2022Qing Liu +2 more
exaly
Rank-(n – 1) convexity and quasiconvexity for divergence free fields
Advances in Calculus of Variations, 2010Mariapia Palombaro
exaly
On a Theorem of Deák Concerning the Quasiconvexity of Semicontinuous-Quasiconvex Functions
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1980openaire +1 more source
$\cal A$-Quasiconvexity, Lower Semicontinuity, and Young Measures
SIAM Journal on Mathematical Analysis, 1999Irène Fonseca, Stefan Müller
exaly
Generalized Nash equilibrium problem, variational inequality and quasiconvexity
Operations Research Letters, 2008Joydeep Dutta, Didier Aussel
exaly