Semi-infinite interval equilibrium problems: optimality conditions and existence results

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URI: http://hdl.handle.net/10498/29700

DOI: 10.1007/s40314-023-02378-8

ISSN: 2238-3603

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Author/s
Ruiz Garzón, GabrielAuthority UCA; Osuna Gómez, Rafaela; Rufián Lizana, Antonio; Beato-Moreno, Antonio
Date
2023
Department
Estadística e Investigación Operativa
Source
Computational and Applied Mathematics- 2023, Vol. 42, N. 6
Abstract
This paper aims to obtain new Karush–Kuhn–Tucker optimality conditions for solutions to semi-infinite interval equilibrium problems with interval-valued objective functions. The Karush–Kuhn–Tucker conditions for the semi-infinite interval programming problem are particular cases of those found in this paper for constrained equilibrium problem.We illustrate this with some examples. In addition, we obtain solutions to the interval equilibrium problem in the unconstrained case. The results presented in this paper extend the corresponding results in the literature.
Subjects
Equilibrium problem; Semi-infinite programming; Interval-valued functions
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Attribution 4.0 Internacional
This work is under a Creative Commons License Attribution 4.0 Internacional