GENERALIZED (α,β,γ,η, ρ,θ)-INVEX FUNCTIONS IN SEMIINFINITE FRACTIONAL PROGRAMMING PART Ⅲ: SECOND-ORDER DUALITY MODELS

G.J. ZALMAI

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GENERALIZED (α,β,γ,η, ρ,θ)-INVEX FUNCTIONS IN SEMIINFINITE FRACTIONAL PROGRAMMING PART Ⅲ: SECOND-ORDER DUALITY MODELS

机译：半无穷分数阶规划的广义（α，β，γ，η，ρ，θ）-积分函数Ⅲ：二阶对偶模型

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摘要

In this paper, we construct and discuss several second-order parametric and nonparametric duality models for a semiinfinite fractional programming problem and establish appropriate duality results under various generalized second-order(α,β,γ,η, ρ,θ)-invexity assumptions.

机译：在本文中，我们构造和讨论了半无穷分数规划问题的几个二阶参数和非参数对偶模型，并在各种广义二阶（α，β，γ，η，ρ，θ）-假设下建立了适当的对偶结果。

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《Revue Roumaine de Mathematiques Pures et Appliquees》 |2013年第2期|105-138|共34页
作者
G.J. ZALMAI;
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作者单位

Northern Michigan University, Department of Mathematics and Computer Science, Marquette, MI 49855, USA;

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正文语种 eng
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关键词
semiinfinite programming; fractional programming; generalized second-order (α,β,γ,η, ρ,θ)-invex functions; infinitely many equality and inequality constraints; second-order dual problems; duality theorems;

机译：半无限编程分式编程;广义二阶（α;β;γ;η;ρ;θ）-凸函数;无限多个平等和不平等约束;二阶双重问题;对偶定理;

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1. Hanson-Antczak-Type Generalized Invex Functions in Semiinfinite Minmax Fractional Programming Part Ⅲ: Second-Order Parametric Duality Models [J] . G. J. Zalmai Communications on applied nonlinear analysis . 2013,第3期

机译：半无限Minmax分式规划中的Hanson-Antczak型广义凸函数第三部分：二阶参数对偶模型
2. Hanson-antczak-type generalized (α, β, γ, ε, ν,ρ, θ)-V-invex functions in semiinfinite multiobjective fractional programming, part II: First-order parametric duality models [J] . Zalmai G.J. Advances in nonlinear variational inequalities . 2013,第2期

机译：半无限多目标分数规划中的Hanson-antczak型广义（α，β，γ，ε，ν，ρ，θ）-V-invex函数，第二部分：一阶参数对偶模型
3. Hanson-Antczak-Type Generalized Invex Functions in Semiinfinite Minmax Fractional Programming, Part Ⅱ : First-Order Parametric Duality Models [J] . G. J. Zalmai Communications on applied nonlinear analysis . 2013,第1期

机译：半无限Minmax分式规划中的Hanson-Antczak型广义凸函数，第二部分：一阶参数对偶模型
4. Wolfe duality for multiobjective programming problems with generalized uniform B#x03C1;-(p, r)-invexity functions [C] . Wang Rongbo, Feng Qiang 2012 Third International Conference on Intelligent Control and Information Processing. . 2012

机译：具有广义一致B ρ-（p，r）-不变性函数的多目标规划问题的Wolfe对偶
5. REALIZING FRACTIONAL DERIVATIVES OF ELEMENTARY AND COMPOSITEFUNCTIONS THROUGH THE GENERALIZED EULER’S INTEGRALTRANSFORM AND INTEGER DERIVATIVE SERIES: BUILDINGTHE MATHEMATICAL FRAMEWORK TO MODEL THEFRACTIONAL SCHR ODINGER EQUATION INFRACTIONAL SPACETIME [D] . Gladkina, Anastasia. 2018

机译：通过广义EULER的积分形式和整数导数系列实现基本和复合函数的分数导数：建立数学框架以建模分数维SCHR Odinger方程分数空间
6. Second Order Duality in Multiobjective Fractional Programming with Square Root Term under Generalized Univex Function [O] . Arun Kumar Tripathy 2014

机译：广义Univex函数下具有平方根项的多目标分数规划的二阶对偶性
7. Generalized parameter-free duality models in discrete minmax fractional programming based on second-order optimality conditions [O] . G. J. Zalmai, Ram U. Verma 2016

机译：基于二阶最优性条件的离散minmax分式规划中的广义无参数对偶模型

GENERALIZED (α,β,γ,η, ρ,θ)-INVEX FUNCTIONS IN SEMIINFINITE FRACTIONAL PROGRAMMING PART Ⅲ: SECOND-ORDER DUALITY MODELS

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