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Mixed E-duality for E-differentiable Vector Optimization Problems Under (Generalized) V-E-invexity

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  • Najeeb Abdulaleem

    (Hadhramout University
    University of Łódź)

Abstract

In this paper, a class of E-differentiable vector optimization problems with both inequality and equality constraints is considered. The so-called vector mixed E-dual problem is defined for the considered E-differentiable vector optimization problem with both inequality and equality constraints. Then, several mixed E-duality theorems are established under (generalized) V-E-invexity hypotheses.

Suggested Citation

  • Najeeb Abdulaleem, 2021. "Mixed E-duality for E-differentiable Vector Optimization Problems Under (Generalized) V-E-invexity," SN Operations Research Forum, Springer, vol. 2(3), pages 1-18, September.
    • Handle: RePEc:spr:snopef:v:2:y:2021:i:3:d:10.1007_s43069-021-00074-z
    DOI: 10.1007/s43069-021-00074-z
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    References listed on IDEAS

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    1. E. A. Youness, 1999. "E-Convex Sets, E-Convex Functions, and E-Convex Programming," Journal of Optimization Theory and Applications, Springer, vol. 102(2), pages 439-450, August.
    2. Anurag Jayswal & Shalini Jha & Ashish Kumar Prasad & Izhar Ahmad, 2018. "Second-Order Symmetric Duality in Variational Control Problems Over Cone Constraints," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 35(04), pages 1-19, August.
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