\(G\)-pre-invex functions in mathematical programming

DOI10.1016/j.cam.2007.06.026zbMath1219.90126OpenAlexW2060101181MaRDI QIDQ929922

Tadeusz Antczak

Publication date: 19 June 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.2007.06.026

zbMATH Keywords

optimality\(G\)-invex set with respect to \(\eta \)\(G\)-pre-invex function with respect to \(\eta \)invex set with respect to \(\eta\)

Mathematics Subject Classification ID

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

Related Items (16)

On a New Class of Interval-Valued Variational Control Problems ⋮ \(G\)-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 ⋮ On semi-\((B, G)\)-preinvex functions ⋮ Rayna's fractional integral operations on Hermite-Hadamard inequalities with \(\eta\)-\(G\)-preinvex functions ⋮ On a class of interval-valued optimization problems ⋮ Unnamed Item ⋮ Modi ed objective function approach for multitime variational problems ⋮ G-saddle point criteria andG-Wolfe duality in differentiate mathematical programming ⋮ Hardy-Littlewood-Pólya-type theorems for invex functions ⋮ Characterization of a condition related to a class of preinvex functions ⋮ Efficiency conditions in vector control problems governed by multiple integrals ⋮ Inequalities for H-invex functions with applications for uniformly convex and superquadratic functions

Cites Work

• Relationships between pre-invex concepts
• \(r\)-preinvexity and \(r\)-invexity in mathematical programming
• New optimality conditions and duality results of \(G\) type in differentiable mathematical programming
• Pre-invex functions in multiple objective optimization
• On sufficiency of the Kuhn-Tucker conditions
• Generalization of preinvex and B-vex functions
• Mean value in invexity analysis
• On invex sets and preinvex functions
• Invexity and generalized convexity
• What is invexity?
• A class of nonconvex functions and mathematical programming
• Invex functions and constrained local minima

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