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Multitime multiobjective variational problems and vector variational-like inequalities

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  • Jayswal, Anurag
  • Singh, Shipra
  • Kurdi, Alia

Abstract

In this paper, we introduce vector variational-like inequality with its weak formulation for multitime multiobjective variational problem. Moreover, we establish the relationships between the solutions of introduced inequalities and (properly) efficient solutions of multitime multiobjective variational problem, involving the invexities of multitime functionals. Some examples are provided to illustrate our results.

Suggested Citation

  • Jayswal, Anurag & Singh, Shipra & Kurdi, Alia, 2016. "Multitime multiobjective variational problems and vector variational-like inequalities," European Journal of Operational Research, Elsevier, vol. 254(3), pages 739-745.
    • Handle: RePEc:eee:ejores:v:254:y:2016:i:3:p:739-745
    DOI: 10.1016/j.ejor.2016.05.006
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    References listed on IDEAS

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    Cited by:

    1. Savin Treanţă & Tareq Saeed, 2023. "On Weak Variational Control Inequalities via Interval Analysis," Mathematics, MDPI, vol. 11(9), pages 1-11, May.
    2. Shipra Singh & Aviv Gibali & Simeon Reich, 2021. "Multi-Time Generalized Nash Equilibria with Dynamic Flow Applications," Mathematics, MDPI, vol. 9(14), pages 1-23, July.

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