Results 131 to 140 of about 430 (171)

Level Function Method for Quasiconvex Programming

Journal of Optimization Theory and Applications, 2001
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exaly   +2 more sources

Minimizing the difference of two quasiconvex functions

Optimization Letters, 2019
The paper considers the difference of a quasiconvex (DQC) optimization problem in the form \[ \begin{cases} \inf f(x)-g(x)\\ \text{subject to}: x\in X, \end{cases}\tag{P} \] where \(X\) is a Banach space and \( f, g: X\rightarrow \overline{\mathbb{R}} = [-\infty, +\infty ] \) are quasiconvex functions.
Stephan Dempe, N Gadhi, Dempe S
exaly   +3 more sources

Subdifferential calculus for a quasiconvex function with generator

Journal of Mathematical Analysis and Applications, 2011
Recently, we discussed optimality conditions for quasiconvex programming by introducing ‘Q-subdifferential’, which is a notion of differential of quasiconvex functions.
Daishi Kuroiwa
exaly   +3 more sources

Semicontinuity and Quasiconvex Functions

Journal of Optimization Theory and Applications, 1997
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Mukherjee, R. N., Reddy, L. V.
openaire   +1 more source

An example of a quasiconvex function that is not polyconvex in two dimensions

Archive for Rational Mechanics and Analysis, 1992
International audienceWe study the different notions of convexity for the function f γ(ξ) = |ξ|2 (|ξ|2 − 2γ det ξ) where ξ ε ℝ2×2, introduced by Dacorogna & Marcellini. We show that f γ is convex, polyconvex, quasiconvex, rank-one convex, if and only if ¦
Bernard Dacorogna
exaly   +2 more sources

An Appropriate Subdifferential for Quasiconvex Functions

SIAM Journal on Optimization, 2002
The 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, Nicolas Hadjisavvas, Juan Enrique Martínez-Legaz   +2 more
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Characterization of Nonsmooth Semistrictly Quasiconvex and Strictly Quasiconvex Functions

Journal of Optimization Theory and Applications, 1999
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Daniilidis, A., Hadjisavvas, N.
openaire   +2 more sources

On the Extension of Continuous Quasiconvex Functions

Journal of Optimization Theory and Applications, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

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
openaire   +1 more source

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
openaire   +2 more sources