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Semi-infinite Multiobjective Fractional Programming III

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Semi-Infinite Fractional Programming

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Abstract

The main purpose of this chapter is to present some formulations on some parameter-free duality models and numerous duality results for a multiobjective fractional programming problem with infinitely many equality and inequality constraints defined on a normed linear space.

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References

  1. 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)

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  2. Zalmai, G.J.: Semiinfinite multiobjective fractional programming problems involving hadamard directionally differentiable functions, Part I : sufficient efficiency conditions. Trans. Math. Prog. Appl. 1(9), 129–147 (2013)

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  3. Zalmai, G.J.: Semiinfinite multiobjective fractional programming problems involving hadamard directionally differentiable functions, Part II : first-order parametric duality models. Trans. Math. Prog. Appl. 1(10), 129–147 (2013)

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  4. Zalmai, G.J., Zhang, Q.: Necessary efficiency conditions for semiinfinite multiobjective optimization problems involving hadamard directionally differentiable functions. Trans. Math. Prog. Appl. 1(1), 129–147 (2013)

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Correspondence to Ram U. Verma .

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Verma, R. (2017). Semi-infinite Multiobjective Fractional Programming III. In: Semi-Infinite Fractional Programming. Infosys Science Foundation Series(). Springer, Singapore. https://doi.org/10.1007/978-981-10-6256-8_6

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