An η-Approximation Approach for Nonlinear Mathematical Programming Problems Involving Invex Functions

DOI10.1081/NFA-200042183zbMath1071.90032OpenAlexW1999998184MaRDI QIDQ4678759

Tadeusz Antczak

Publication date: 23 May 2005

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/nfa-200042183

zbMATH Keywords

dualityoptimalityinvex function with respect to \(\eta\)\(\eta\)-approximated optimization problem

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)

Related Items (14)

An \(\eta\)-approximation approach to duality in mathematical programming problems involving \(r\)-invex functions ⋮ Unnamed Item ⋮ New optimality conditions and duality results of \(G\) type in differentiable mathematical programming ⋮ Multiobjective optimization problems with modified objective functions and cone constraints and applications ⋮ Duality for a fractional variational formulation using $\eta$-approximated method ⋮ Sufficient Conditions for Nonsmoothr-Invexity ⋮ G-saddle point criteria andG-Wolfe duality in differentiate mathematical programming ⋮ A second order \(\eta \)-approximation method for constrained optimization problems involving second order invex functions. ⋮ Saddle-point criteria in an \(\eta\)-approximation method for nonlinear mathematical programming problems involving invex functions ⋮ Saddle point criteria and duality in multiobjective programming via an η-approximation method ⋮ Exponential type duality for η-approximated variational problems ⋮ A new method of solving nonlinear mathematical programming problems involving \(r\)-invex functions ⋮ AN η-APPROXIMATION APPROACH IN NONLINEAR VECTOR OPTIMIZATION WITH UNIVEX FUNCTIONS ⋮ An \(\eta\)-approximation method in nonlinear vector optimization

Cites Work

• On various duality theorems in nonlinear programming
• Sufficient optimality conditions and duality for a quasiconvex programming problem
• On sufficiency of the Kuhn-Tucker conditions
• A new approach to multiobjective programming with a modified objective function
• What is invexity?
• Convex Analysis

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