Necessary Optimality Conditions for Interval Optimization Problems with Functional and Abstract Constraints-Reference-Cited by-同舟云学术

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Necessary Optimality Conditions for Interval Optimization Problems with Functional and Abstract Constraints

Published:2022-06-29 Issue:3 Volume:194 Page:896-923
ISSN:0022-3239
Container-title:Journal of Optimization Theory and Applications
language:en
Short-container-title:J Optim Theory Appl

Author:

Villanueva Fabiola Roxana^ORCID,de Oliveira Valeriano Antunes^ORCID

Funder

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Fundação de Amparo í Pesquisa do Estado de São Paulo

Pró-Reitoria de Pós-Graduação, Universidade Estadual Paulista

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Link

https://link.springer.com/content/pdf/10.1007/s10957-022-02055-6.pdf

Reference29 articles.

1. Ahmad, I., Singh, D., Dar, B.A.: Optimality conditions in multiobjective programming problems with interval valued objective functions. Control Cybern. 44(1), 19–45 (2015). https://doi.org/10.2298/FIL1608121A

2. Ahmad, I., Singh, D., Dar, B.A.: Optimality conditions for invex interval valued nonlinear programming problems involving generalized H-derivative. Filomat 30(8), 2121–2138 (2016). https://doi.org/10.2298/FIL1608121A

3. Antczak, T.: Optimality conditions and duality results for nonsmooth vector optimization problems with the multiple interval-valued objective function. Acta Math. Sci. Ser. (Engl. Ed.) B37(4), 1133–1150 (2017). https://doi.org/10.1016/S0252-9602(17)30062-0

4. Aubin, J.P., Cellina, A.: Differential inclusions. In: Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 264. Springer, Berlin. https://doi.org/10.1007/978-3-642-69512-4. Set-valued Maps And Viability Theory (1984)

5. Bertsekas, D.P.: Nonlinear Programming, Athena Scientific Optimization and Computation Series, 2nd edn. Athena Scientific, Belmont (1999)

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1. Gradient-based descent linesearch to solve interval-valued optimization problems under gH-differentiability with application to finance;Journal of Computational and Applied Mathematics;2024-01

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