On the relationships between \(G\)-preinvex functions and semistrictly \(G\)-preinvex functions

DOI10.1016/j.cam.2007.11.006zbMath1154.90010OpenAlexW2115950507MaRDI QIDQ955055

B. E. Eshmatov

Publication date: 18 November 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2007.11.006

zbMATH Keywords

continuityinvex setsemistrictly \(G\)-preinvex functions\(G\)-preinvex functions

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Convexity of real functions of several variables, generalizations (26B25)

Related Items (7)

\(G\)-semipreinvexity and its applications ⋮ Semistrict \(G\)-preinvexity and optimality in nonlinear programming ⋮ On the strictly \(G\)-preinvex function ⋮ Semistrict \(G\)-preinvexity and its application ⋮ A note on \(G\)-preinvex functions ⋮ Characterizations of semi-prequasi-invexity ⋮ On semi-\((B, G)\)-preinvex functions

Cites Work

• On characterizations of prequasi-invex functions
• \(r\)-preinvexity and \(r\)-invexity in mathematical programming
• New optimality conditions and duality results of \(G\) type in differentiable mathematical programming
• Saddle-point criteria in an \(\eta\)-approximation method for nonlinear mathematical programming problems involving invex functions
• Pre-invex functions in multiple objective optimization
• Remarks on criteria of prequasi-invex functions
• Invexity and generalized convexity
• On properties of preinvex functions
• Semistrictly preinvex functions
• Characterizations and applications of prequasi-invex functions.

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