Second-Order Optimality Conditions for Interval-Valued Optimization Problem

Sachin Rastogi () and Akhlad Iqbal
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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

Asia-Pacific Journal of Operational Research (APJOR), 2025, vol. 42, issue 03, 1-15

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.

Keywords: Second-order optimality conditions; LU and C–R-type order relation; square slack variable method; KKT optimality conditions (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0217595924500209

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