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Semi-infinite Multiobjective Fractional Programming II

  • Ram U. VermaEmail author
Chapter
Part of the Infosys Science Foundation Series book series (ISFS)

Abstract

This Chapter deals with constructing and examining some first-order parametric duality models and proving appropriate weak, strong, and converse duality theorems for a multiobjective fractional programming problem with infinitely many equality and inequality constraints defined on a normed linear space.

References

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    Zalmai, G.J.: Semiinfinite multiobjective fractional programming problems involving Hadamard directionally differentiable functions, part II: first-order parametric models. Trans. Math. Prog. Appl. 1(10), 1–34 (2013)Google Scholar
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    Zalmai, G.J.: Semiinfinite multiobjective fractional programming problems involving Hadamard directionally differentiable functions, part III : first-order parameter-free duality models. Trans. Math. Prog. Appl. 2(1), 31–65 (2014)Google Scholar
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    Zalmai, G.J., Zhang, Q.: Global parametric sufficient efficiency conditions for semiinfinite multiobjective fractional programming problems containing generalized \((\alpha,\eta,\rho )\)-V-invex functions. Acta Math. Appl. Sinica 29, 63–78 (2013)CrossRefzbMATHMathSciNetGoogle Scholar
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    Zalmai, G.J., Zhang, Q.: Parametric duality models for semiinfinite multiobjective fractional programming problems containing generalized \((\alpha,\eta,\rho )\)-V-invex functions. Acta Math. Appl. Sinica 29, 225–240 (2013)CrossRefzbMATHMathSciNetGoogle Scholar
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    Zalmai, G.J., Zhang, Q.: Necessary efficiency conditions for semiinfinite multiobjective optimization problems involving Hadamard directionally differentiable functions. Trans. Math. Prog. Appl. 1, 129–147 (2013)Google Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2017

Authors and Affiliations

  1. 1.Department of MathematicsTexas State UniversitySan MarcosUSA

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