Results 141 to 150 of about 430 (171)

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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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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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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On extremal points of quasiconvex functions

Mathematical Programming, 1985
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Evenly Quasiconvex Functions

2020
This chapter is devoted to the study of those functions whose lower level sets are evenly convex, the so-called evenly quasiconvex functions. In Sect. 3.1 we define this class of functions, which provides greater minorants than the smaller class of the lower semicontinuous quasiconvex functions.
María D. Fajardo, Miguel A. Goberna, Margarita M. L. Rodríguez, José Vicente-Pérez   +3 more
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Quadratic Programming with a Quasiconvex Objective Function

Operations Research, 1971
This paper gives both necessary and sufficient conditions for a quadratic function to be quasiconvex in the nonnegative orthant. Methods of pseudoconvex programming (such as those of Frank and Wolfe) can solve linearly constrained quadratic programming problems with such an objective function.
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Functions With Quasiconvex Derivatives

1998
The necessary and sufficient conditions for quasiconvexity are given for the derivative of real-valued function, defined and continuously differentiate on I = [a, b] ⊂ ℝ Also, some inequalities are presented in this paper.
Vidan Govedarica, Milan Jovanović
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On Generalized Pseudo- and Quasiconvexities for Nonsmooth Functions

2018
Convexity is the most important and useful concept in mathematical optimization theory. In order to extend the existing results depending on convexity, numerous attempts of generalizing the concept have been published during years. Different types of generalized convexities have proved to be the main tool when constructing optimality conditions, in ...
Mäkelä Marko, Karmitsa Napsu, Eronen Ville-Pekka   +2 more
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