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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

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.

Original language	English
Title of host publication	Proceedings of the 2020 3rd International Conference on Robot Systems and Applications, ICRSA 2020
Publisher	Association for Computing Machinery
Pages	75-81
Number of pages	7
ISBN (Electronic)	9781450387644
DOIs	https://doi.org/10.1145/3402597.3402611
State	Published - 14 Jun 2020
Event	3rd International Conference on Robot Systems and Applications, ICRSA 2020 - Chengdu, China Duration: 14 Jun 2020 → 16 Jun 2020

Publication series

Name	ACM International Conference Proceeding Series

Conference

Conference	3rd International Conference on Robot Systems and Applications, ICRSA 2020
Country/Territory	China
City	Chengdu
Period	14/06/20 → 16/06/20

Bibliographical note

Publisher Copyright:
© 2020 ACM.

Keywords

Microeconomy
nonnegative orthant
proximal method
quasiconvex multiobjective minimization

Access to Document

10.1145/3402597.3402611

Cite this

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. In 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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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. in 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).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - 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. A Proximal Method for Multiobjective Quasiconvex Minimization on the Nonnegative Orthant and its Application to Demand Theory in Microeconomy. In 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). 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

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