A Proximal Method for Multiobjective Quasiconvex Minimization on the Nonnegative Orthant and its Application to Demand Theory in Microeconomy

Erik Alex Papa Quiroz; Dante Borda Marcatinco; Frank Collantes Sánchez

doi:10.1145/3402597.3402611

A Proximal Method for Multiobjective Quasiconvex Minimization on the Nonnegative Orthant and its Application to Demand Theory in Microeconomy

Erik Alex Papa Quiroz, Dante Borda Marcatinco, Frank Collantes Sánchez

Resultado de la investigación: Capítulo del libro/informe/acta de congreso › Contribución a la conferencia › revisión exhaustiva

1 Cita (Scopus)

Resumen

In this paper we propose an inexact proximal point method to solve multiobjective minimization problems with locally Lipschitz quasiconvex objective functions on the nonnegative orthant. Assuming that the function is also bounded from below, lower semicontinuous and using proximal distances, we obtain the convergence of the sequences generated by the algorithm. We give some computational results and an application to demand theory is presented.

Idioma original	Inglés
Título de la publicación alojada	Proceedings of the 2020 3rd International Conference on Robot Systems and Applications, ICRSA 2020
Editorial	Association for Computing Machinery
Páginas	75-81
Número de páginas	7
ISBN (versión digital)	9781450387644
DOI	https://doi.org/10.1145/3402597.3402611
Estado	Publicada - 14 jun. 2020
Evento	3rd International Conference on Robot Systems and Applications, ICRSA 2020 - Chengdu, China Duración: 14 jun. 2020 → 16 jun. 2020

Serie de la publicación

Nombre	ACM International Conference Proceeding Series

Conferencia

Conferencia	3rd International Conference on Robot Systems and Applications, ICRSA 2020
País/Territorio	China
Ciudad	Chengdu
Período	14/06/20 → 16/06/20

Nota bibliográfica

Publisher Copyright:
© 2020 ACM.

Acceder al documento

10.1145/3402597.3402611

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Quiroz, E. A. P., Marcatinco, D. B., & Sánchez, F. C. (2020). A Proximal Method for Multiobjective Quasiconvex Minimization on the Nonnegative Orthant and its Application to Demand Theory in Microeconomy. En Proceedings of the 2020 3rd International Conference on Robot Systems and Applications, ICRSA 2020 (pp. 75-81). (ACM International Conference Proceeding Series). Association for Computing Machinery. https://doi.org/10.1145/3402597.3402611

Quiroz, Erik Alex Papa ; Marcatinco, Dante Borda ; Sánchez, Frank Collantes. / A Proximal Method for Multiobjective Quasiconvex Minimization on the Nonnegative Orthant and its Application to Demand Theory in Microeconomy. Proceedings of the 2020 3rd International Conference on Robot Systems and Applications, ICRSA 2020. Association for Computing Machinery, 2020. pp. 75-81 (ACM International Conference Proceeding Series).

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abstract = "In this paper we propose an inexact proximal point method to solve multiobjective minimization problems with locally Lipschitz quasiconvex objective functions on the nonnegative orthant. Assuming that the function is also bounded from below, lower semicontinuous and using proximal distances, we obtain the convergence of the sequences generated by the algorithm. We give some computational results and an application to demand theory is presented.",

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Quiroz, EAP, Marcatinco, DB & Sánchez, FC 2020, A Proximal Method for Multiobjective Quasiconvex Minimization on the Nonnegative Orthant and its Application to Demand Theory in Microeconomy. En Proceedings of the 2020 3rd International Conference on Robot Systems and Applications, ICRSA 2020. ACM International Conference Proceeding Series, Association for Computing Machinery, pp. 75-81, 3rd International Conference on Robot Systems and Applications, ICRSA 2020, Chengdu, China, 14/06/20. https://doi.org/10.1145/3402597.3402611

A Proximal Method for Multiobjective Quasiconvex Minimization on the Nonnegative Orthant and its Application to Demand Theory in Microeconomy. / Quiroz, Erik Alex Papa; Marcatinco, Dante Borda; Sánchez, Frank Collantes.
Proceedings of the 2020 3rd International Conference on Robot Systems and Applications, ICRSA 2020. Association for Computing Machinery, 2020. p. 75-81 (ACM International Conference Proceeding Series).

Resultado de la investigación: Capítulo del libro/informe/acta de congreso › Contribución a la conferencia › revisión exhaustiva

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Quiroz EAP, Marcatinco DB, Sánchez FC. A Proximal Method for Multiobjective Quasiconvex Minimization on the Nonnegative Orthant and its Application to Demand Theory in Microeconomy. En Proceedings of the 2020 3rd International Conference on Robot Systems and Applications, ICRSA 2020. Association for Computing Machinery. 2020. p. 75-81. (ACM International Conference Proceeding Series). doi: 10.1145/3402597.3402611