Acta mathematica scientia,Series B ›› 2026, Vol. 46 ›› Issue (1): 383-406.doi: 10.1007/s10473-026-0121-6

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SEMI-INFINITE INTERVAL-VALUED OPTIMIZATION PROBLEMS WITH ROBUST CONSTRAINTS

Anurag JAYSWAL, Ajeet KUMAR*   

  1. Department of Mathematics and Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad-826004, Jharkhand, India
  • Received:2024-10-04 Revised:2025-01-31 Online:2026-01-25 Published:2026-05-22
  • Contact: * Ajeet KUMAR,E-mail: 22dr0039@iitism.ac.in; ajeetjionee@gmail.com
  • About author:Anurag JAYSWAL, E-mail: anurag@iitism.ac.in; anurag_jais123@yahoo.com
  • Supported by:
    MATRICES, SERB-DST, New Delhi, India (No. MTR / 2021 /000002).

Abstract: In this paper, we consider a robust semi-infinite interval-valued optimization problem with inequality constraints having an uncertain parameter. The parametric representation of the aforesaid problem is also considered in order to derive the necessary and sufficient optimality conditions. Furthermore, we formulate a mixed-type dual problem and derive duality results which associate the robust weak efficient solution of the primal and its dual problems. Several examples are given to illustrate the results in the manuscript.

Key words: semi-infinite programming, interval-valued programming, robust weak efficient solution, optimality conditions, duality

CLC Number: 

  • 90C30
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