Optimization of the difference of ICR functions

DOI10.1016/j.na.2009.03.017zbMath1178.90342OpenAlexW2079611732MaRDI QIDQ838045

A. R. Doagooei, Hossein Mohebi

Publication date: 21 August 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.03.017

zbMATH Keywords

global optimizationsubdifferentialabstract convexitymonotonic analysissupport setICR function

Mathematics Subject Classification ID

Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46) Monotonic functions, generalizations (26A48)

Related Items (13)

Global optimization of the difference of two increasing plus-convex-along-rays functions ⋮ Global minimization of the difference of increasing co-radiant and quasi-concave functions ⋮ Characterizing approximate global minimizers of the difference of two abstract convex functions with applications ⋮ Optimization of the difference of topical functions ⋮ On the extensions preserving the shape of a semi-Hölder function ⋮ Generalized cutting plane method for solving nonlinear stochastic programming problems ⋮ Minimizing the Difference of Dual Functions of Two Coradiant Functions ⋮ Characterizing global maximizers of the difference of sub-topical functions ⋮ Characterizations of minimal elements of topical functions on semimodules with applications ⋮ Global minimization of the difference of strictly non-positive valued affine ICR functions ⋮ Effective Hamiltonians for Constrained Quantum Systems ⋮ Abstract convexity of set-valued topical functions with application in DC-type optimization ⋮ Characterizations of Maximal Elements for Extended Real Valued Increasing and Co-Radiant Functions

Cites Work

• Monotonic analysis over ordered topological vector spaces. IV
• Duality in nonconvex optimization
• Increasing convex-along-rays functions with applications to global optimization
• Inequality systems and global optimization
• Toland-singer formula cannot distinguish a global minimizer from a choice of stationary points^*
• Nonlinear Extensions of Farkas’ Lemma with Applications to Global Optimization and Least Squares
• Abstract convexity:examples and applications
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