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Characterization results of solutions in interval-valued optimization problems with mixed constraints

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Abstract

In this paper, we establish some characterization results of solutions associated with a class of interval-valued optimization problems with mixed constraints. More precisely, we investigate the connections between the LU-optimal solutions of the considered interval-valued variational control problem and the saddle-points associated with an interval-valued Lagrange functional corresponding to a modified interval-valued variational control problem. The main derived resuts are accompanied by illustrative examples.

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  1. Department of Applied Mathematics, Faculty of Applied Sciences, University Politehnica of Bucharest, 313 Splaiul Independentei, 060042, Bucharest, Romania

    Savin Treanţă

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  1. Savin Treanţă
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Correspondence to Savin Treanţă.

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Treanţă, S. Characterization results of solutions in interval-valued optimization problems with mixed constraints. J Glob Optim 82, 951–964 (2022). https://doi.org/10.1007/s10898-021-01049-4

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  • DOI: https://doi.org/10.1007/s10898-021-01049-4

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