A note on \(G\)-preinvex functions

DOI10.1186/1029-242X-2013-169zbMath1297.46054OpenAlexW2157022098WikidataQ59301580 ScholiaQ59301580MaRDI QIDQ394672

Xiaoling Liu, Chuanqing Xu, De-Hui Yuan

Publication date: 27 January 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-169

zbMATH Keywords

invexityinvex set\(G\)-generalized invexity

Mathematics Subject Classification ID

Convex functions and convex programs in convex geometry (52A41) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Convexity of real functions in one variable, generalizations (26A51)

Cites Work

• \(r\)-preinvexity and \(r\)-invexity in mathematical programming
• New optimality conditions and duality results of \(G\) type in differentiable mathematical programming
• \(G\)-pre-invex functions in mathematical programming
• On the characterization of preinvex functions
• On the relationships between \(G\)-preinvex functions and semistrictly \(G\)-preinvex functions
• Pre-invex functions in multiple objective optimization
• On invex sets and preinvex functions
• On properties of preinvex functions
• Semistrictly preinvex functions

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