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A Note on a Nonlinear Minimax Location Problem in Tree Networks. [PDF]

J Res Natl Bur Stand (1977), 1977
Francis RL.
europepmc   +1 more source

Quasiconvexity of sum of quasiconvex functions

Quasiconvexity of sum of quasiconvex functions
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Is every radiant function the sum of quasiconvex functions?

Mathematical Methods of Operations Research, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A Zaffaroni
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Approximation of quasiconvex functions by neatly quasiconvex functions

Optimization Letters, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Suliman Al-Homidan, Loai Shaalan, Al-Homidan Suliman   +2 more
exaly   +3 more sources

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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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 ...
Fabian Flores-Bazán, Nicolas Hadjisavvas   +1 more
exaly   +3 more sources

Functions Which Are Quasiconvex under Linear Perturbations

SIAM Journal on Optimization, 2012
A quasiconvex function is a function whose sublevel sets are convex. A function which is quasiconvex under every (possibly large) linear perturbation is, by definition, a convex function. In this well-written paper, motivated by applications in partial differential equations and optimal control, the authors study functions which are robustly ...
E N Barron
exaly   +3 more sources