Results 11 to 20 of about 532 (159)
Height, Graded Relative Hyperbolicity and Quasiconvexity [PDF]
, 2017 International audienceWe introduce the notions of geometric height and graded (geometric) relative hyperbolicity in this paper. We use these to characterize quasiconvexity in hyperbolic groups, relative quasiconvexity in relatively hyperbolic groups, and
François Dahmani +3 more
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General H-theorem and Entropies that Violate the Second Law
Entropy, 2014 H-theorem states that the entropy production is nonnegative and, therefore, the entropy of a closed system should monotonically change in time. In information processing, the entropy production is positive for random transformation of signals (the ...
Alexander N. Gorban
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Sufficient optimality conditions and duality for nonsmooth multiobjective optimization problems via higher order strong convexity [PDF]
Yugoslav Journal of Operations Research, 2017 In this paper, we define some new generalizations of strongly convex functions of order m for locally Lipschitz functions using Clarke subdifferential.
Upadhyay Balendu B. +2 more
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A-Quasiconvexity: Relaxation and Homogenization [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2000 The paper deals with problems in the calculus of variations where minimization of the energy functional \[ (u,v)\mapsto\int_\Omega f\bigl(x,u(x),v(x)\bigr) dx \] (with \(\Omega\subset{\mathbb{R}}^N\) open, \(u:\Omega\to{\mathbb{R}}^m\), \(v:\Omega\to{\mathbb{R}}^d\)) is performed with a differential constraint \({\mathcal A}v=0\), where \[ {\mathcal A ...
Braides, Andrea +2 more
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Quasiconvexity preserving property for fully nonlinear nonlocal parabolic equations [PDF]
, 2023 This paper is concerned with a general class of fully nonlinear parabolic equations with monotone nonlocal terms. We investigate the quasiconvexity preserving property of positive, spatially coercive viscosity solutions.
Kagaya, Takashi +3 more
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On the non-locality of quasiconvexity [PDF]
, 1999 It is shown that in the class of smooth real-valued functions on n × m matrices (n = 3, m = 2) there can be no "local condition" which is equivalent to quasiconvexity. © Elsevier, Paris.
Kristensen, Jan +2 more
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Dentable functions and radially uniform quasi-convexity
International Journal of Mathematics and Mathematical Sciences, 1978 In this paper we give a further result which states sufficient conditions for the theory of convergence of minimizing sequences to be applicable, develop the theory further, and give an application.
Carl G. Looney
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Numerical approaches for investigating quasiconvexity in the context of Morrey's conjecture
, 2022 Deciding whether a given function is quasiconvex is generally a difficult task. Here, we discuss a number of numerical approaches that can be used in the search for a counterexample to the quasiconvexity of a given function $W$. We will demonstrate these
Sander, Oliver (author) +12 more
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Necessary and Sufficient Conditions for Set-Valued Maps with Set Optimization
Abstract and Applied Analysis, 2018 Optimality conditions are studied for set-valued maps with set optimization. Necessary conditions are given in terms of S-derivative and contingent derivative.
Abdessamad Oussarhan, Ikram Daidai
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Generalized fractional integral inequalities by means of quasiconvexity
Advances in Difference Equations, 2019 Using the newly introduced fractional integral operators in (Fasc. Math. 20(4):5-27, 2016) and (East Asian Math. J. 21(2):191-203, 2005), we establish some novel inequalities of the Hermite–Hadamard type for functions whose second derivatives in absolute
Eze R. Nwaeze
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