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Parametric Duality Models for Semi-infinite Discrete Minmax Fractional Programming Problems Involving Generalized (η,ρ)-Invex Functions 被引量:4
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作者 G.J.Zalmai 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2007年第3期353-376,共24页
A semi-infinite programming problem is a mathematical programming problem with a finite number of variables and infinitely many constraints. Duality theories and generalized convexity concepts are important research t... A semi-infinite programming problem is a mathematical programming problem with a finite number of variables and infinitely many constraints. Duality theories and generalized convexity concepts are important research topics in mathematical programming. In this paper, we discuss a fairly large number of paramet- ric duality results under various generalized (η,ρ)-invexity assumptions for a semi-infinite minmax fractional programming problem. 展开更多
关键词 Semi-infinite programming discrete minmax fractional programming generalized invex functions infinitely many equality and inequality constraints parametric duality models duality theorems
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Global Parametric Sufficient Optimality Conditions for Semi-infinite Discrete Minmax Fractional Programming Problems Involving Generalized (η,ρ)-invex Functions 被引量:1
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作者 G.J.Zalmai 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2007年第2期217-234,共18页
In this paper, we discuss a large number of sets of global parametric sufficient optimality conditions under various generalized (η,ρ)-invexity assumptions for a semi-infinite minmax fractional programming problem.
关键词 Semi-infinite programming discrete minmax fractional programming generalized invex functions infinitely many equality and inequality constraints sufficient optimality conditions
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Parametric Duality Models for Semiinfinite Multiobjective Fractional Programming Problems Containing Generalized (α, η, ρ)-V-Invex Functions
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作者 G.J. ZALMAI Qing-hong ZHANG 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2013年第2期225-240,共16页
In this paper, we present several parametric duality results under various generalized (a,v,p)-V- invexity assumptions for a semiinfinite multiobjective fractional programming problem.
关键词 Semiinfinite programming multiobjective fractional programming generalized invex functions infinitely many equality and inequality constraints parametric duality models duality theorems
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Global Parametric Sufficient Efficiency Conditions for Semiinfinite Multiobjective Fractional Programming Problems Containing Generalized (α, η, ρ)-V-Invex Functions
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作者 G.J. Zalmai Qing-hong Zhang 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2013年第1期63-78,共16页
Abstract In this paper, we discuss numerous sets of global parametric sufficient efficiency conditions under various generalized (a,n, p)-V-invexity assumptions for a semiinfinite multiobjective fractional programmi... Abstract In this paper, we discuss numerous sets of global parametric sufficient efficiency conditions under various generalized (a,n, p)-V-invexity assumptions for a semiinfinite multiobjective fractional programming problem. 展开更多
关键词 Semiinfinite programming multiobjective fractional programming generalized invex functions infinitely many equality and inequality constraints parametric sufficient efficiency conditions.
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