Results 261 to 270 of about 7,046 (301)

On Convex Generalized Systems

Journal of Optimization Theory and Applications, 2000
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MASTROENI, GIANDOMENICO, Rapcsak T.
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Stochastic Convexity on General Space

Mathematics of Operations Research, 1999
This paper presents a general theory of stochastic convexity. The notions of stochastic convexity formulated by Shaked and Shanthikumar (1988a, 1988b, 1990) are defined for general partially ordered spaces. All of the closure properties of the one-dimensional real theory are proved to be true in this general framework as well and results concerning ...
Ludolf E. Meester, J. George Shanthikumar   +1 more
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GENERALIZED CONVEXITY AND CLOSURE CONDITIONS

International Journal of Algebra and Computation, 2013
Convex subsets of affine spaces over the field of real numbers are described by so-called barycentric algebras. In this paper, we discuss extensions of the geometric and algebraic definitions of a convex set to the case of more general coefficient rings.
Gábor Czédli, Anna B. Romanowska
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Generalized Monotonicity of Subdifferentials and Generalized Convexity

Journal of Optimization Theory and Applications, 1997
A function \(f:X\to {\mathbb{R}}\) defined on a Banach space \(X\) is said to be quasiconvex if \[ \forall x,y\in X, \forall t\in [0,1]: f(x+t(y-x)) \leq \max \{f(x),f(y)\} . \] Given a notion of subdifferential \(\partial f\), the authors provide characterizations of the convexity and quasiconvexity of \(f\) in terms of the monotonicity and ...
Penot, J. P., Sach, P. H.
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On generalized convex functions and generalized subdifferential

Optimization Letters, 2018
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A Generalized Convexity and Variational Inequality for Quasi-Convex Minimization

SIAM Journal on Optimization, 1996
Summary: We present a variational-type necessary and sufficient condition for the optimality in a quasi-convex minimization, in which a vanishing differential is not a sufficient condition. Using this condition, we show that path-following methods can, in principle, be applied to solve a quasi-convex minimization.
Phan Thien Thach, Masakazu Kojima
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Convexities Generated by L-Monads

Applied Categorical Structures, 2010
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On Second-Order Generalized Convexity

Journal of Optimization Theory and Applications, 2015
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Convexity in Queues With General Inputs

IEEE Transactions on Information Theory, 2005
In this correspondence, we develop fundamental convexity properties of unfinished work and packet waiting time in a queue serving general stochastic traffic. The queue input consists of an uncontrollable background process and a rate-controllable input stream.
Michael J. Neely, Eytan H. Modiano
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Fuzzy generalized convex spaces

Journal of Intelligent & Fuzzy Systems, 2020
On completely distributive lattice, the notion of fuzzy generalized convex space is introduced. It can be characterized by many means including fuzzy generalized hull space, fuzzy generalized restricted hull space, fuzzy generalized convexly enclosed relation space and fuzzy generalized derived hull space.
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