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.
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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)
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)
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)
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)
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)
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Verma, R. (2017). Semi-infinite Multiobjective Fractional Programming II. In: Semi-Infinite Fractional Programming. Infosys Science Foundation Series(). Springer, Singapore. https://doi.org/10.1007/978-981-10-6256-8_5
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DOI: https://doi.org/10.1007/978-981-10-6256-8_5
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Online ISBN: 978-981-10-6256-8
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