Results 101 to 110 of about 148 (137)

Characterization of Nonsmooth Semistrictly Quasiconvex and Strictly Quasiconvex Functions

Journal of Optimization Theory and Applications, 1999
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Daniilidis, A., Hadjisavvas, N.
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On the Extension of Continuous Quasiconvex Functions

Journal of Optimization Theory and Applications, 2020
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Ray-quasiconvex and f-quasiconvex functions

1994
Using the definition of ray in the euclidean space, we define a new class of functions that avoid Karamardian’s anomaly and which contain the quasimonotonic functions. These new functions have a good behaviour in relation to its optimal sets, allowing the construction of heuristic algorithms in order to find its extreme points.
J. A. Mayor-Gallego, A. Rufián-Lizana, P. Ruiz-Canales   +2 more
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Additively decomposed quasiconvex functions

Mathematical Programming, 1986
The authors give a new definition of the convexity index introduced in a recently published paper by \textit{G. Debreu} and \textit{T. C. Koopmans} [Math. Program. 24, 1-38 (1982; Zbl 0495.90063)]. By means of this definition they give then characterizations of the quasiconvexity of the function s defined on \(X_ 1\times X_ 2\times...\times X_ p\) by \[
Jean-Pierre Crouzeix, Per Olov Lindberg
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On the robustness of quasiconvex functions

Journal of Computational and Applied Mathematics
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N. N. Hai, P. T. An, N. H. Hai
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Conditions for Convexity of Quasiconvex Functions

Mathematics of Operations Research, 1980
Necessary 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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Approximating Quasiconvex Functions with Strictly Quasiconvex Ones in Banach Space

Set-Valued and Variational Analysis, 2017
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Lucchetti, Roberto, Milasi, Monica
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On continuous quasiconvex functions

Mathematische Operationsforschung und Statistik. Series Optimization, 1981
An immediate, but apparently not yet published, alternative definition for quasiconvex functions is given for the case of continuity. This, then, is immediately generalized to α-quasiconvex functions with values from a connected quasiorder. Finally, the results obtained are investigated with respect to quasinimonotonic functions, including results on ...
Behringer, Fred Alois, Walberer, Rainhard   +1 more
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Variational Subdifferential for Quasiconvex Functions

Journal of Optimization Theory and Applications, 2001
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The structure of quasiconvex functions

1998
Abstract From Remark 5.17 we deduce that quasiconvexity is a sufficient condition for the lower semicontinuity of integral functionals with respect to the weak* convergence in W hence quasiconvex functions are rank-1-convex by Corollary 4.12.
Andrea Braides, Anneliese Defranceschi
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