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On vector variational E-inequalities and differentiable vector optimization problem

Author

Listed:
  • Tadeusz Antczak

    (University of Łódź)

  • Najeeb Abdulaleem

    (University of Łódź
    Hadhramout University
    Mahrah University)

Abstract

In this paper, in order to characterize optimality of a class of nonconvex differentiable multiobjective programming problems, we introduce two new types of vector variational-like inequalities, namely, a weak variational E-inequality and a vector variational E-inequality. Namely, under (strictly) E-convexity, we prove relationships between the aforesaid vector variational-like inequalities and differentiable vector optimization problems. Further, under (strictly) pseudo-E-convexity, we are in position to identify vector critical E-points, weak E-Pareto (E-Pareto) solutions of differentiable vector optimization problems and solutions of these introduced vector variational-like inequalities.

Suggested Citation

  • Tadeusz Antczak & Najeeb Abdulaleem, 2024. "On vector variational E-inequalities and differentiable vector optimization problem," OPSEARCH, Springer;Operational Research Society of India, vol. 61(1), pages 460-482, March.
    • Handle: RePEc:spr:opsear:v:61:y:2024:i:1:d:10.1007_s12597-023-00698-1
    DOI: 10.1007/s12597-023-00698-1
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    References listed on IDEAS

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