Results 111 to 120 of about 164 (149)

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, Dempe S, N Gadhi
exaly   +3 more sources

Semicontinuity and Quasiconvex Functions

Journal of Optimization Theory and Applications, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mukherjee, R. N., Reddy, L. V.
openaire   +1 more source

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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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

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
openaire   +1 more source

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

Characterizing quasiconvexity of the pointwise infimum of a family of arbitrary translations of quasiconvex functions, with applications to sums and quasiconvex optimization

Mathematical Programming, 2021
An essential goal of this paper is to find sufficient conditions or even characterizations for quasiconvex functions such that sum or minimum of two (or finitely many) such funtions are again quasiconvex. To do this, the authors use the connection between quasiconvex functions \(f\) and quasimonotone operators (think of \(\partial{f}\)), use a new ...
Fabián Flores Bazán, Yboon García, Nicolas Hadjisavvas   +2 more
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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
openaire   +4 more sources

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
openaire   +1 more source