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Semi-infinite interval-valued optimization problems with robust constraints

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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.

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Acknowledgement

The authors are thankful to the anonymous reviewers for their valuable comments and suggestions that led the paper into the current form.

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Authors and Affiliations

  1. Department of Mathematics and Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad, 826004, Jharkhand, India

    Anurag Jayswal & Ajeet Kumar

Authors
  1. Anurag Jayswal
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  2. Ajeet Kumar
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Corresponding author

Correspondence to Ajeet Kumar.

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Conflict of Interest The authors declare that they have no conflicts of interest regarding the research presented in this manuscript.

Additional information

The first author was financially supported by the MATRICES, SERB-DST, New Delhi, India (No. MTR / 2021 /000002).

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Jayswal, A., Kumar, A. Semi-infinite interval-valued optimization problems with robust constraints. Acta Math Sci 46, 383–406 (2026). https://doi.org/10.1007/s10473-026-0121-6

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  • DOI: https://doi.org/10.1007/s10473-026-0121-6

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