Generalized Fractional Programming ( Mathematics Research Developments )

Publication series ： Mathematics Research Developments

Author： Gaston M. N'Guerekata;Ram U. Verma

Publisher： Nova Science Publishers, Inc.‎

Publication year： 2017

E-ISBN: 9781536128703

P-ISBN(Paperback): 9781536128697

Subject： O1-0 mathematical theory

Keyword：数学理论

Language： ENG

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Generalized Fractional Programming

Chapter

GENERALIZED FRACTIONAL PROGRAMMING

Contents

Preface

Introduction

GeneralizedProgrammingProblems

RoleofConstraintQualifications

TheFritzJohnCondition

TheKuhn-TuckerCondition

Abadie’sConstraintQualifications

Guignard’sConstraintQualification

LinearConstraintQualification

Mangasarian-FromovitzConstraintQualification

LinearIndependencyConstraintQualification

RoleofDirectionalDerivatives

Applicationsof(P2)and(P3)

Semi-InfiniteProgrammingProblem

SomeBasicConcepts

SounivexityandSonvexity

RoleoftheZalmaiTechnique

Hanson-AntczakSonvexities

References

Chapter1Higher-OrderParametricOptimalityConditions

Abstract

1.TheSignificanceofParametricOptimality

2.GeneralizedSonvexities

3.Second-OrderNecessaryOptimality

4.SufficientOptimalityConditions

GeneralRemarks

References

Chapter2Hybrid(°,,!,,,,m)-SonvexitiesandParametricOptimalityConditions

Abstract

1.RoleofHybridSonvexityandOptimalityConditions

2.BasicConcepts

3.SufficientOptimalityConditions

4.ConcludingRemarks

References

Chapter3GeneralizedSecond-OrderParametricOptimalityConditions

Abstract

1.RoleofPatrametricOptimalityConditions

2.BasicConcepts

3.SufficientOptimalityConditions

4.ConcludingRemarks

References

Chapter4GeneralizedHigherOrder(°,,!,,,,m)-Invexities

Abstract

1.Higher-OrderSufficientOptimalityConditions

2.Preliminaries

3.SufficientOptimalityConditions

4.ConcludingRemarks

References

Chapter5HybridParametricDualityModels

Abstract

1.RoleofDualityModels

2.GeneralizedSonvexities

3.DualityModelI

4.DualityModelII

5.ConcludingRemarks

References

Chapter6HybridClassesofDualityModelsinDiscreteMinmaxFractionalProgramming

Abstract

1.GeneralizedHigher-OrderParametricDualityModels

2.GeneralizedSounivexty

3.DualityModelI

4.DualityModelII

5.ConcludingRemarks

References

Chapter7Hanson-Antczak-TypeGeneralizedV-Invexity

Abstract

1.RoleofSemiinfiniteMultiobjectiveFractionalPrograms

2.Hanson-Antczak-TypeSonvexities

3.DualityModelI

4.DualityModelII

5.DualityModelIII

6.DualityModelIV

7.GeneralRemarks

References

Bibliography

AbouttheAuthors

Index

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