A new method of solving nonlinear mathematical programming problems involving \(r\)-invex functions

DOI10.1016/j.jmaa.2005.02.049zbMath1139.90023OpenAlexW2087782383MaRDI QIDQ2568962

Tadeusz Antczak

Publication date: 17 October 2005

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.02.049

zbMATH Keywords

optimalitymathematical programming\(\eta \)-approximated optimization problem\(r\)-invex function

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Nonlinear programming (90C30) Convexity of real functions in one variable, generalizations (26A51)

Related Items (6)

An \(\eta\)-approximation approach to duality in mathematical programming problems involving \(r\)-invex functions ⋮ Duality for a fractional variational formulation using $\eta$-approximated method ⋮ Inequalities for the weighted mean of r-preinvex functions on an invex set ⋮ A new approximation approach to optimality and duality for a class of nonconvex differentiable vector optimization problems ⋮ Exponential type duality for η-approximated variational problems ⋮ EXTENSIONS OF THE HERMITE–HADAMARD INEQUALITY FOR -PREINVEX FUNCTIONS ON AN INVEX SET

Cites Work

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• The essence of invexity
• \(r\)-preinvexity and \(r\)-invexity in mathematical programming
• On sufficiency of the Kuhn-Tucker conditions
• A new approach to multiobjective programming with a modified objective function
• Invex functions and constrained local minima
• An η-Approximation Approach for Nonlinear Mathematical Programming Problems Involving Invex Functions
• r-convex functions

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