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Optimality conditions and duality for E-differentiable multiobjective programming involving V-E-type I functions

Author

Listed:
  • Najeeb Abdulaleem

    (University of Łódź
    Hadhramout University
    Mahrah University)

  • Savin Treanţă

    (University Politehnica of Bucharest
    Academy of Romanian Scientists)

Abstract

In this paper, we introduce a new concept of sets and a new class of functions called $$\alpha$$ α -E-invex sets and V-E-preinvex functions. Furthermore, a new concept of generalized convexity is introduced for (not necessarily) differentiable vector optimization problems. Namely, the concept of V-E-type I functions is defined for E-differentiable vector optimization problem. A number of sufficiency results are established under various types of (generalized) V-E-type I requirements. Moreover, several E-duality theorems in the sense of Mond–Weir are proved under appropriate (generalized) V-E-type I functions.

Suggested Citation

  • Najeeb Abdulaleem & Savin Treanţă, 2023. "Optimality conditions and duality for E-differentiable multiobjective programming involving V-E-type I functions," OPSEARCH, Springer;Operational Research Society of India, vol. 60(4), pages 1824-1843, December.
    • Handle: RePEc:spr:opsear:v:60:y:2023:i:4:d:10.1007_s12597-023-00674-9
    DOI: 10.1007/s12597-023-00674-9
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    References listed on IDEAS

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    1. Majed G. Alharbi & Hamiden Abd El-Wahed Khalifa & E. E. Ammar & Basil K. Papadopoulos, 2020. "An Interactive Approach for Solving the Multiobjective Minimum Cost Flow Problem in the Fuzzy Environment," Journal of Mathematics, Hindawi, vol. 2020, pages 1-7, November.
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