Generalized monotonicity of a separable product of operators: The multivalued case

J. P. Crouzeix; A. Hassouni

doi:10.1007/bf01026246

Generalized monotonicity of a separable product of operators: The multivalued case

Set-Valued Analysis ◽

10.1007/bf01026246 ◽

1995 ◽

Vol 3 (4) ◽

pp. 351-373 ◽

Cited By ~ 6

Author(s):

J. P. Crouzeix ◽

A. Hassouni

Keyword(s):

Generalized Monotonicity ◽

Separable Product

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Quasiconcavity of a separable product of utility functions

Optimization ◽

10.1080/02331934.2018.1509213 ◽

2018 ◽

Vol 67 (11) ◽

pp. 1837-1848 ◽

Cited By ~ 1

Author(s):

Mohammed Berdi ◽

Abdelhak Hassouni

Keyword(s):

Utility Functions ◽

Separable Product

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Generalized monotonicity analysis

Economic Theory ◽

10.1007/s00199-009-0450-4 ◽

2009 ◽

Vol 43 (3) ◽

pp. 377-406 ◽

Cited By ~ 4

Author(s):

Bruno H. Strulovici ◽

Thomas A. Weber

Keyword(s):

Generalized Monotonicity ◽

Monotonicity Analysis

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Generalized Convexity, Generalized Monotonicity and Nonsmooth Analysis

Nonconvex Optimization and Its Applications - Handbook of Generalized Convexity and Generalized Monotonicity ◽

10.1007/0-387-23393-8_11 ◽

2006 ◽

pp. 465-499 ◽

Cited By ~ 7

Author(s):

Nicolas Hadjisavvas

Keyword(s):

Nonsmooth Analysis ◽

Generalized Convexity ◽

Generalized Monotonicity

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Some invariance properties of generalized monotonicity

Lecture Notes in Economics and Mathematical Systems - Generalized Convexity ◽

10.1007/978-3-642-46802-5_21 ◽

1994 ◽

pp. 276-277

Author(s):

Rita Pini ◽

Siegfried Schaible

Keyword(s):

Generalized Monotonicity ◽

Invariance Properties

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Generalized monotonicity in terms of differential inequalities

Proceedings of the Royal Society of Edinburgh Section A Mathematics ◽

10.1017/prm.2018.118 ◽

2019 ◽

Vol 149 (6) ◽

pp. 1473-1479

Author(s):

Mihály Bessenyei

Keyword(s):

Generalized Monotonicity ◽

Second Derivative ◽

Differential Inequalities ◽

Chebyshev Systems

AbstractThe classical notions of monotonicity and convexity can be characterized via the nonnegativity of the first and the second derivative, respectively. These notions can be extended applying Chebyshev systems. The aim of this note is to characterize generalized monotonicity in terms of differential inequalities, yielding analogous results to the classical derivative tests. Applications in the fields of convexity and differential inequalities are also discussed.

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