Convexity with respect to families of sections and lines and their application in optimization

DOI10.1007/s10898-015-0327-yzbMath1359.90151OpenAlexW795762923MaRDI QIDQ280085

Pál Burai

Publication date: 29 April 2016

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-015-0327-y

zbMATH Keywords

generalized convexityoptimality conditionscharacterization of generalized convexitygeneralized directional derivative

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46) Convexity of real functions of several variables, generalizations (26B25)

Cites Work

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• Smooth nonlinear optimization of \(\mathbb R^n\)
• Necessary and sufficient condition on global optimality without convexity and second order differentiability
• The equality case in some recent convexity inequalities
• On approximately convex functions
• Convexity along curves and indunvexity
• Abstract Convexity, Some Relations and Applications
• Iterative Solution of Nonlinear Equations in Several Variables
• Regularly increasing functions in connection with the theory of $L^{*φ}$-spaces

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