Results 241 to 250 of about 81,328 (284)

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 ...
Meester, Ludolf E., Shanthikumar, J. George   +1 more
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Generalized Convex Sets

2002
In this chapter we first generalize convex sets by introducing the concept of starshaped sets, which is “one-step” more general than the concept of convex sets. Then we make further steps generalizing the starshaped sets to obtain path-connected sets, Φ-convex sets and some other types of generalized convex sets.
Jaroslav Ramík, Milan Vlach
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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.
Czédli, Gábor, Romanowska, Anna B.
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Convexities Generated by L-Monads

Applied Categorical Structures, 2010
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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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Generalized monotonicity and generalized convexity

Journal of Optimization Theory and Applications, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Scalar and Vector Generalized Convexity

1989
The interest in the properties of convexity and concavity can be found in some very general economic principles such as the law of decreasing increments, the diversification of preferences and production processes and the theory of rational behaviour towards risk.
CASTAGNOLI, ERIO, P. Mazzoleni
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Convex Generalized Differentiation

2022
Boris S. Mordukhovich, Nguyen Mau Nam
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Generalized Convexity

SIAM Journal on Mathematical Analysis, 1980
Gudder, S., Schroeck, F.
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On Second-Order Generalized Convexity

Journal of Optimization Theory and Applications, 2015
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