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Vector optimization problem and generalized convexity

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  • M. Oveisiha
  • J. Zafarani

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  • M. Oveisiha & J. Zafarani, 2012. "Vector optimization problem and generalized convexity," Journal of Global Optimization, Springer, vol. 52(1), pages 29-43, January.
    • Handle: RePEc:spr:jglopt:v:52:y:2012:i:1:p:29-43
    DOI: 10.1007/s10898-011-9657-6
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    References listed on IDEAS

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    1. T. Jabarootian & J. Zafarani, 2008. "Generalized Vector Variational-Like Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 136(1), pages 15-30, January.
    2. Q. H. Ansari & G. M. Lee, 2010. "Nonsmooth Vector Optimization Problems and Minty Vector Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 145(1), pages 1-16, April.
    3. X. M. Yang & X. Q. Yang & K. L. Teo, 2004. "Some Remarks on the Minty Vector Variational Inequality," Journal of Optimization Theory and Applications, Springer, vol. 121(1), pages 193-201, April.
    4. D.E. Ward & G.M. Lee, 2002. "On Relations Between Vector Optimization Problems and Vector Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 113(3), pages 583-596, June.
    5. D. Aussel, 1998. "Subdifferential Properties of Quasiconvex and Pseudoconvex Functions: Unified Approach," Journal of Optimization Theory and Applications, Springer, vol. 97(1), pages 29-45, April.
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    Citations

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    Cited by:

    1. Li-Wen Zhou & Nan-Jing Huang, 2013. "Existence of Solutions for Vector Optimization on Hadamard Manifolds," Journal of Optimization Theory and Applications, Springer, vol. 157(1), pages 44-53, April.
    2. M. Oveisiha & J. Zafarani, 2014. "On Characterization of Solution Sets of Set-Valued Pseudoinvex Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 163(2), pages 387-398, November.
    3. Anurag Jayswal & Shipra Singh & Sarita Choudhury, 2015. "On composite vector variational-like inequalities and vector optimization problems," Computational Management Science, Springer, vol. 12(4), pages 577-594, October.
    4. M. Darabi & J. Zafarani, 2015. "Tykhonov Well-Posedness for Quasi-Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 165(2), pages 458-479, May.

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