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Robust Nonsmooth Interval-Valued Optimization Problems Involving Uncertainty Constraints

Author

Listed:
  • Rekha R. Jaichander

    (Department of Mathematics, School of Science, GITAM-Hyderabad Campus, Hyderabad 502329, India
    Department of Mathematics, St. Francis College for Women-Begumpet, Hyderabad 500006, India)

  • Izhar Ahmad

    (Department of Mathematics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
    Center for Intelligent Secure Systems, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia)

  • Krishna Kummari

    (Department of Mathematics, School of Science, GITAM-Hyderabad Campus, Hyderabad 502329, India)

  • Suliman Al-Homidan

    (Department of Mathematics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
    Center for Smart Mobility and Logistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia)

Abstract

In this paper, Karush-Kuhn-Tucker type robust necessary optimality conditions for a robust nonsmooth interval-valued optimization problem (UCIVOP) are formulated using the concept of LU-optimal solution and the generalized robust Slater constraint qualification (GRSCQ). These Karush-Kuhn-Tucker type robust necessary conditions are shown to be sufficient optimality conditions under generalized convexity. The Wolfe and Mond-Weir type robust dual problems are formulated over cones using generalized convexity assumptions, and usual duality results are established. The presented results are illustrated by non-trivial examples.

Suggested Citation

  • Rekha R. Jaichander & Izhar Ahmad & Krishna Kummari & Suliman Al-Homidan, 2022. "Robust Nonsmooth Interval-Valued Optimization Problems Involving Uncertainty Constraints," Mathematics, MDPI, vol. 10(11), pages 1-19, May.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:11:p:1787-:d:822365
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    References listed on IDEAS

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