HIGHER ORDER DUALITY FOR A NEW CLASS OF NONCONVEX SEMI-INFINITE MULTIOBJECTIVE FRACTIONAL PROGRAMMING WITH SUPPORT FUNCTIONS

DOI10.11948/20180261zbMath1473.90176OpenAlexW3112675542MaRDI QIDQ5165259

Tadeusz Antczak, Kalpana Shukla

Publication date: 16 November 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/20180261

zbMATH Keywords

support functionMond-Weir dualSchaible type dualsemi-infinite multiobjective fractional programminghigher order \((\Phi,\rho,\sigma^{\alpha})\)-type I functions

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Quadratic programming (90C20) Optimality conditions and duality in mathematical programming (90C46)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Parametric duality models for semiinfinite multiobjective fractional programming problems containing generalized \((\alpha, \eta, \rho)\)-V-invex functions
• Higher-order duality in nondifferentiable minimax fractional programming involving generalized convexity
• Second order multiobjective mixed symmetric duality containing square root term with generalized invex function
• The sufficient efficiency conditions in semi-infinite multiobjective fractional programming under higher order exponential type hybrid type invexities
• Duality for nonsmooth semi-infinite programming problems
• Higher order duality in multiobjective fractional programming with support functions
• Second order duality for nondifferentiable multiobjective programming problem involving \((F, \alpha , \rho , d)-V\)-type I functions
• Second order duality for minmax fractional programming
• Second- and higher-order duality in nonlinear programming
• Optimality criteria and duality in multiple-objective optimization involving generalized invexity
• Second order mixed type duality in multiobjective programming problems.
• Higher-order symmetric duality in nondifferentiable multiobjective programming problems.
• Higher-order generalized invexity and duality in mathematical programming
• Generalized higher-order cone-convex functions and higher-order duality in vector optimization
• Second- and higher-order generalised invexity and duality in mathematical programming
• Higher-order generalized invexity and duality in nondifferentiable mathematical programming
• Higher-order generalized convexity and duality in nondifferentiable multiobjective mathematical programming
• Unified higher order duality in nondifferentiable multiobjective programming involving cones
• Global parametric sufficient efficiency conditions for semiinfinite multiobjective fractional programming problems containing generalized \((\alpha,\eta,\rho)\)-V-invex functions
• On duality for a second-order multiobjective fractional programming problem involving type-I functions
• On fractional programming containing support functions
• Semi-infinite fractional programming
• Optimality conditions and duality for nondifferentiable multiobjective semi-infinite programming
• Optimality conditions for nonsmooth semi-infinite multiobjective programming
• Second order duality for multiobjective programming involving \((F,\rho,\sigma)\)-type I functions.
• Second order duality for fractional programming with support functions.
• Second order \((F, \alpha , \rho , d)\)-convexity and duality in multiobjective programming
• Semiinfinite multiobjective fractional programming, Part I: Sufficient efficiency conditions
• Semiinfinite multiobjective fractional programming, part II: Duality models
• On Proper Efficiency in Multiobjective Semi-infinite Optimization
• Optimality conditions and duality in multiobjective programming with invexity
• First and Second Order Duality for a class of Nondifferentiable Fractional Programming Problem
• Higher order optimality and duality in fractional vector optimization over cones
• Second Order Duality in Multiobjective Programming Involving Generalized Type I Functions
• Optimality and duality for nonsmooth semi-infinite multiobjective programming with support functions
• Higher order duality in multiobjective fractional programming problem with generalized convexity
• Optimality and duality in multiobjective programming involving support functions
• Sufficient optimality conditions for semi-infinite multiobjective fractional programming under (Ф,ρ)-V-invexity and generalized (Ф,ρ)-V-invexity
• Higher-Order Duality in Nondifferentiable Multiobjective Programming
• Convex Analysis

This page was built for publication: HIGHER ORDER DUALITY FOR A NEW CLASS OF NONCONVEX SEMI-INFINITE MULTIOBJECTIVE FRACTIONAL PROGRAMMING WITH SUPPORT FUNCTIONS