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On a class of interval-valued optimization problems

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Abstract

In this paper, we introduce the interval-valued KT-pseudoinvex variational control problems involving multiple integral objective functionals. Specifically, a new condition of generalized convexity is defined for the functionals involved in the new class of interval-valued variational control problems. Moreover, it is proved that an interval-valued KT-pseudoinvex variational control problem is described such that every Kuhn–Tucker point is an LU-optimal solution. Also, in order to illustrate the theoretical development, an application is provided.

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Authors and Affiliations

  1. Department of Applied Mathematics, University Politehnica of Bucharest, Faculty of Applied Sciences, 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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Communicated by Andreas Öchsner.

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Treanţă, S. On a class of interval-valued optimization problems. Continuum Mech. Thermodyn. 34, 617–626 (2022). https://doi.org/10.1007/s00161-022-01080-0

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