Results 81 to 90 of about 130 (118)
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Ray-quasiconvex and f-quasiconvex functions
1994Using 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 +2 more
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On second order conditions for quasiconvexity
Mathematical Programming, 1980The paper presents a sufficient condition for quasiconvexity in terms of Hessian, hereby extending an earlier result by Katzner in 1970, and (by a slight modification of the assumptions) a necessary and sufficient condition for quasiconvexity.
Crouzeix Jean-Pierre +1 more
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Semicontinuity and Quasiconvex Functions
Journal of Optimization Theory and Applications, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mukherjee, R. N., Reddy, L. V.
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THE COMBINATION THEOREM AND QUASICONVEXITY
International Journal of Algebra and Computation, 2001We show that if G is a fundamental group of a finite k-acylindrical graph of groups where every vertex group is word-hyperbolic and where every edge-monomorphism is a quasi-isometric embedding, then all the vertex groups are quasiconvex in G (the group G is word-hyperbolic by the Combination Theorem of M. Bestvina and M. Feighn).
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Optimal Design and Constrained Quasiconvexity
SIAM Journal on Mathematical Analysis, 2000The author considers an optimal design problem of the form \[ \text{Minimize }I(g) = \int_\Omega W(x,g(x),w(x), \nabla w(x)) dx, \] with \(g(x) \in \{a,b\}\), \({1\over |\Omega|} \int_\Omega g = \lambda a + (1 - \lambda)b\), \(\lambda \in(0,1)\) is fixed, \(w\in H^1_0(\Omega)\) is the solution of -div\((g \nabla w)=f\) for a given \(f \in H^{-1}(\Omega)
Pablo Pedregal Tercero
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Approximating Quasiconvex Functions with Strictly Quasiconvex Ones in Banach Space
Set-Valued and Variational Analysis, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lucchetti, Roberto, Milasi, Monica
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Zeitschrift für Operations Research, 1983
In this article we develop a conjugacy theory in quasiconvex analysis, in which no lower semicontinuity or normality assumption is needed to ensure the coincidence of the second conjugate of any function with its quasivonvex hull. This is made by an extension of the concept ofH-conjugation, and is based on a separation theorem by general halfspaces ...
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In this article we develop a conjugacy theory in quasiconvex analysis, in which no lower semicontinuity or normality assumption is needed to ensure the coincidence of the second conjugate of any function with its quasivonvex hull. This is made by an extension of the concept ofH-conjugation, and is based on a separation theorem by general halfspaces ...
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On the robustness of quasiconvex functions
Journal of Computational and Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
N. N. Hai, P. T. An, N. H. Hai
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An Appropriate Subdifferential for Quasiconvex Functions
SIAM Journal on Optimization, 2002The 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 +2 more
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On the Extension of Continuous Quasiconvex Functions
Journal of Optimization Theory and Applications, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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