Results 131 to 140 of about 532 (159)
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On the robustness of quasiconvex functions
Journal of Computational and Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
N. N. Hai, P. T. An, N. H. Hai
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On the Extension of Continuous Quasiconvex Functions
Journal of Optimization Theory and Applications, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An Appropriate Subdifferential for Quasiconvex Functions
SIAM Journal on Optimization, 2002The authors introduce a concept of subdifferential that is well adapted to the class of lower-semicontinuous quasiconvex functions. Several interesting properties and calculus rules are established. A related reference is [\textit{J. E. Martínez-Legaz} and \textit{J. E. Sach}, J. Convex Anal. 6, 1-11 (1999; Zbl 0942.49020)].
Aris Daniilidis +2 more
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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.
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Lagrangian Approach to Quasiconvex Programing
Journal of Optimization Theory and Applications, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Quasiconvexity and Rank-One Convexity in Cosserat Elasticity Theory
Advanced Structured Materials, 2022Milad Shirani +2 more
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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
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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
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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.
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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.
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Quasiconvexity preserving property for fully nonlinear nonlocal parabolic equations
Nonlinear Differential Equations and Applications, 2022Qing Liu +2 more
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Aggregation operators preserving quasiconvexity
Information Sciences, 2013Vladimir Jänis, Pavol Kral'
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