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Generalized invex monotonicity
European Journal of Operational Research, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rafaela Osuna-Gómez +2 more
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Monotonicity in Generalized Semi-Markov Processes
Mathematics of Operations Research, 1992We establish stochastic monotonicity of the event epoch sequences of generalized semi-Markov processes through the structure of the generalized semi-Markov schemes on which they are based. Our main condition states, roughly, that the occurrence of more events in the short run never leads to the activation of less events in the long run.
Paul Glasserman, David D Yao
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A framework for generalized monotonicity of fusion functions [PDF]
The relaxation of the property of monotonicity is a trend in the theory of aggregation and fusion functions and several generalized forms of monotonicity have been introduced, most of which are based on the notion of directional monotonicity.
Radko Mesiar +2 more
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Generalized monotonicity and convexity of non-differentiable functions [PDF]
The relationships between (strict, strong) convexity of non-differentiable functions and (strict, strong) monotonicity of set-valued mappings, and (strict, strong, sharp) pseudo convexity of non-differentiable functions and (strict, strong) pseudo ...
Liya Fan
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A Generalization of the Monotone Convergence Theorem
Mediterranean Journal of Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. Linero-Bas, D. Nieves-Roldán
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Monotonicity and the Generalized Inverse
SIAM Journal on Applied Mathematics, 1972Necessary and sufficient conditions are given in order that a matrix A have a nonnegative generalized inverse $A^ + $. The concept of row-monotonicity is introduced and a characterization of row-monotone matrices is used to derive a necessary and sufficient condition on $A\geqq 0$ so that $A^ + \geqq 0$.
Berman, Abraham, Plemmons, Robert J.
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The monotonicity of the ratio between generalized logarithmic means [PDF]
A monotonicity result for the ratio between two generalized logarithmic means is established.
Chao-Ping Chen
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New classes of generalized monotonicity [PDF]
. This paper introduces new classes of generalized monotone functions and relates them to previously introduced classes. Key Words. Generalized monotonicity, variational inequalities.
P Marcotte
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Generalized Monotone Affine Maps
SIAM Journal on Matrix Analysis and Applications, 1996Summary: We derive new necessary and sufficient conditions for an affine map to be quasimonotone on a convex set.
Jean-Pierre Crouzeix, Siegfried Schaible
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Generalized Monotonicity of Subdifferentials and Generalized Convexity
Journal of Optimization Theory and Applications, 1997A 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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