Clarke Subdifferential, Pareto-Clarke Critical Points and Descent Directions to Multiobjective Optimization on Hadamard Manifolds

Erik Alex Papa Quiroz; Nancy Baygorrea; Nelson Maculan

doi:10.1007/978-3-030-92666-3_16

Clarke Subdifferential, Pareto-Clarke Critical Points and Descent Directions to Multiobjective Optimization on Hadamard Manifolds

Erik Alex Papa Quiroz, Nancy Baygorrea, Nelson Maculan

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

1 Cita (Scopus)

Resumen

In this paper, we aim to complement our work reported in [20] by showing some further properties and results on Clarke subdifferential, Pareto-Clarke critical points and descent directions on Hadamard manifolds. These tools and results can be applied to introduce new algorithms for solving nonsmooth nonconvex multiobjective minimization problems on Hadamard manifolds.

Idioma original	Inglés
Título de la publicación alojada	Modelling, Computation and Optimization in Information Systems and Management Sciences - Proceedings of the 4th International Conference on Modelling, Computation and Optimization in Information Systems and Management Sciences - MCO 2021
Editores	Hoai An Le Thi, Hoai Minh Le, Hoai An Le Thi, Tao Pham Dinh
Editorial	Springer Science and Business Media Deutschland GmbH
Páginas	182-192
Número de páginas	11
ISBN (versión impresa)	9783030926656
DOI	https://doi.org/10.1007/978-3-030-92666-3_16
Estado	Publicada - 2022
Publicado de forma externa	Sí
Evento	4th International conference on Modelling, Computation and Optimization in Information Systems and Management Sciences, MCO 2021 - Hanoi, Vietnam Duración: 11 dic. 2021 → 13 dic. 2021

Serie de la publicación

Nombre	Lecture Notes in Networks and Systems
Volumen	363 LNNS
ISSN (versión impresa)	2367-3370
ISSN (versión digital)	2367-3389

Conferencia

Conferencia	4th International conference on Modelling, Computation and Optimization in Information Systems and Management Sciences, MCO 2021
País/Territorio	Vietnam
Ciudad	Hanoi
Período	11/12/21 → 13/12/21

Nota bibliográfica

Publisher Copyright:
© 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Acceder al documento

10.1007/978-3-030-92666-3_16

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Papa Quiroz, E. A., Baygorrea, N., & Maculan, N. (2022). Clarke Subdifferential, Pareto-Clarke Critical Points and Descent Directions to Multiobjective Optimization on Hadamard Manifolds. En H. A. Le Thi, H. M. Le, H. A. Le Thi, & T. Pham Dinh (Eds.), Modelling, Computation and Optimization in Information Systems and Management Sciences - Proceedings of the 4th International Conference on Modelling, Computation and Optimization in Information Systems and Management Sciences - MCO 2021 (pp. 182-192). (Lecture Notes in Networks and Systems; Vol. 363 LNNS). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-92666-3_16

Papa Quiroz, Erik Alex ; Baygorrea, Nancy ; Maculan, Nelson. / Clarke Subdifferential, Pareto-Clarke Critical Points and Descent Directions to Multiobjective Optimization on Hadamard Manifolds. Modelling, Computation and Optimization in Information Systems and Management Sciences - Proceedings of the 4th International Conference on Modelling, Computation and Optimization in Information Systems and Management Sciences - MCO 2021. editor / Hoai An Le Thi ; Hoai Minh Le ; Hoai An Le Thi ; Tao Pham Dinh. Springer Science and Business Media Deutschland GmbH, 2022. pp. 182-192 (Lecture Notes in Networks and Systems).

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abstract = "In this paper, we aim to complement our work reported in [20] by showing some further properties and results on Clarke subdifferential, Pareto-Clarke critical points and descent directions on Hadamard manifolds. These tools and results can be applied to introduce new algorithms for solving nonsmooth nonconvex multiobjective minimization problems on Hadamard manifolds.",

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note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.; 4th International conference on Modelling, Computation and Optimization in Information Systems and Management Sciences, MCO 2021 ; Conference date: 11-12-2021 Through 13-12-2021",

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Papa Quiroz, EA, Baygorrea, N & Maculan, N 2022, Clarke Subdifferential, Pareto-Clarke Critical Points and Descent Directions to Multiobjective Optimization on Hadamard Manifolds. En HA Le Thi, HM Le, HA Le Thi & T Pham Dinh (eds.), Modelling, Computation and Optimization in Information Systems and Management Sciences - Proceedings of the 4th International Conference on Modelling, Computation and Optimization in Information Systems and Management Sciences - MCO 2021. Lecture Notes in Networks and Systems, vol. 363 LNNS, Springer Science and Business Media Deutschland GmbH, pp. 182-192, 4th International conference on Modelling, Computation and Optimization in Information Systems and Management Sciences, MCO 2021, Hanoi, Vietnam, 11/12/21. https://doi.org/10.1007/978-3-030-92666-3_16

Clarke Subdifferential, Pareto-Clarke Critical Points and Descent Directions to Multiobjective Optimization on Hadamard Manifolds. / Papa Quiroz, Erik Alex; Baygorrea, Nancy; Maculan, Nelson.
Modelling, Computation and Optimization in Information Systems and Management Sciences - Proceedings of the 4th International Conference on Modelling, Computation and Optimization in Information Systems and Management Sciences - MCO 2021. ed. / Hoai An Le Thi; Hoai Minh Le; Hoai An Le Thi; Tao Pham Dinh. Springer Science and Business Media Deutschland GmbH, 2022. p. 182-192 (Lecture Notes in Networks and Systems; Vol. 363 LNNS).

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

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Papa Quiroz EA, Baygorrea N, Maculan N. Clarke Subdifferential, Pareto-Clarke Critical Points and Descent Directions to Multiobjective Optimization on Hadamard Manifolds. En Le Thi HA, Le HM, Le Thi HA, Pham Dinh T, editores, Modelling, Computation and Optimization in Information Systems and Management Sciences - Proceedings of the 4th International Conference on Modelling, Computation and Optimization in Information Systems and Management Sciences - MCO 2021. Springer Science and Business Media Deutschland GmbH. 2022. p. 182-192. (Lecture Notes in Networks and Systems). doi: 10.1007/978-3-030-92666-3_16