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Optimality analysis and duality conditions for a class of conic semi-infinite program having vanishing constraints

Author

Listed:
  • Tamanna Yadav

    (Indian Institute of Technology Roorkee)

  • S. K. Gupta

    (Indian Institute of Technology Roorkee)

  • Sumit Kumar

    (Indian Institute of Managment Udaipur)

Abstract

This work focuses on a non-smooth conic semi-infinite programming problem having vanishing constraints. Using the limiting constraint qualification, we establish a necessary optimality condition for the optimization model. Subsequently, the concept of generalized convexity over cones is introduced, followed by the development of sufficient optimality conditions. Wolfe’s and Mond-Weir type dual models are also formulated for the considered semi-infinite optimization problem, and weak, strong and converse duality results are established under generalized Q-convexity/ pseudoconvexity/Q-quasiconvexity assumptions. The article incorporates numerical illustrations at appropriate places to validate the results.

Suggested Citation

  • Tamanna Yadav & S. K. Gupta & Sumit Kumar, 2024. "Optimality analysis and duality conditions for a class of conic semi-infinite program having vanishing constraints," Annals of Operations Research, Springer, vol. 340(2), pages 1091-1123, September.
    • Handle: RePEc:spr:annopr:v:340:y:2024:i:2:d:10.1007_s10479-024-05907-8
    DOI: 10.1007/s10479-024-05907-8
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    References listed on IDEAS

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