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Second-Order Optimality Conditions for Interval-Valued Optimization Problem

Author

Listed:
  • Sachin Rastogi

    (Department of Mathematics, Hindu College, Mahatma Jyotiba Phule Rohilkhand University, Bareilly 243003, UP, India)

  • Akhlad Iqbal

    (Department of Mathematics, Aligarh Muslim University, Aligarh 202002, UP, India)

Abstract

In this paper, we discuss the second-order KKT-type optimality conditions for interval-valued optimization problem. To derive second-order necessary and sufficient conditions, we use two different methodologies: square slack variable method and the theory of geometric cone optimality conditions for interval-valued objective functions. Furthermore, we discuss two types of order relations LU and center–radius (C–R). To show the validity of our results, we have demonstrated some nontrivial examples.

Suggested Citation

  • Sachin Rastogi & Akhlad Iqbal, 2025. "Second-Order Optimality Conditions for Interval-Valued Optimization Problem," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 42(03), pages 1-15, June.
    • Handle: RePEc:wsi:apjorx:v:42:y:2025:i:03:n:s0217595924500209
    DOI: 10.1142/S0217595924500209
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