Monotonic analysis over ordered topological vector spaces: I

DOI10.1080/02331930600819746zbMath1144.26012OpenAlexW1993064953MaRDI QIDQ5423637

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Publication date: 31 October 2007

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331930600819746

zbMATH Keywords

abstract convexityIPH functionsdownward setsupward sets

Mathematics Subject Classification ID

Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

Related Items (20)

Abstract concavity of increasing co-radiant and quasi-concave functions with applications in mathematical economics ⋮ Global optimization of the difference of two increasing plus-convex-along-rays functions ⋮ Some results on abstract convexity of functions ⋮ Characterizing approximate global minimizers of the difference of two abstract convex functions with applications ⋮ Abstract convexity of radiant functions with applications ⋮ Farkas-type theorems for positively homogeneous systems in ordered topological vector spaces ⋮ Some criteria for maximal abstract monotonicity ⋮ Farkas-Type Theorems and Applications: From IPH Functions to ICR Functions ⋮ Characterizing global maximizers of the difference of sub-topical functions ⋮ Unnamed Item ⋮ Maximal abstract monotonicity and generalized Fenchel's conjugation formulas ⋮ Global minimization of the difference of strictly non-positive valued affine ICR functions ⋮ Sub-topical functions and plus-co-radiant sets ⋮ Monotonic analysis over ordered topological vector spaces: II ⋮ Abstract convexity of topical functions ⋮ A Study of Downward Sets withp-Functions ⋮ Global optimization of the difference of affine increasing and positively homogeneous functions ⋮ Monotonic analysis over ordered topological vector spaces. IV ⋮ Abstract convexity of extended real-valued ICR functions ⋮ Characterizations of Maximal Elements for Extended Real Valued Increasing and Co-Radiant Functions

Cites Work

• Unnamed Item
• Convex games without side payments
• On games without side payments arising from a general class of markets
• Downward sets and their separation and approximation properties
• Topical and sub-topical functions, downward sets and abstract convexity
• Monotonic Analysis over Cones: I
• Best approximation by normal and conormal sets

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