Mathematical Analysis of P-Stability Maps for Parametric Conic Vector Optimization
Stability analysis for nonlinear programming systems deals with the possible changes of the system parameters and/or equations that maintain the stability of the solutions. It is a crucial requirement to study the nonlinear system and its practical values, specifically the economic impact in most re...
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| المؤلف الرئيسي: | |
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| مؤلفون آخرون: | , |
| منشور في: |
2024
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| الموضوعات: | |
| الوصول للمادة أونلاين: | https://bspace.buid.ac.ae/handle/1234/3081 https://doi.org/10.54878/wf7f4t04. |
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| _version_ | 1862980613138546688 |
|---|---|
| author | A. Tharwat, Assem |
| author2 | Mourad, Nahia A. Mosilhy, Mohammed |
| author2_role | author author |
| author_facet | A. Tharwat, Assem Mourad, Nahia A. Mosilhy, Mohammed |
| author_role | author |
| dc.creator.none.fl_str_mv | A. Tharwat, Assem Mourad, Nahia A. Mosilhy, Mohammed |
| dc.date.none.fl_str_mv | 2024-02-03 2025-05-21T16:17:48Z 2025-05-21T16:17:48Z |
| dc.identifier.none.fl_str_mv | Tharwat, A., Mourad, N. and Mosilhy, M. (2024) “Mathematical Analysis of P-Stability Maps for Parametric Conic Vector Optimization,” Emirati Journal of Business, Economics, & Social Studies, 3(1), pp. 4–13. 2791-3171 https://bspace.buid.ac.ae/handle/1234/3081 https://doi.org/10.54878/wf7f4t04. |
| dc.language.none.fl_str_mv | en_US |
| dc.publisher.none.fl_str_mv | Emirates scholar |
| dc.relation.none.fl_str_mv | Emirati Journal of Business, Economics, & Social Studiesv3 n1 (20240116): 4-13 |
| dc.subject.none.fl_str_mv | Parametric Vector Optimization Problems (PVOP); Domination Cone; Perturbation Maps; Set-valued Maps; Stability Notions |
| dc.title.none.fl_str_mv | Mathematical Analysis of P-Stability Maps for Parametric Conic Vector Optimization |
| dc.type.none.fl_str_mv | Article |
| description | Stability analysis for nonlinear programming systems deals with the possible changes of the system parameters and/or equations that maintain the stability of the solutions. It is a crucial requirement to study the nonlinear system and its practical values, specifically the economic impact in most real-world applications. This paper presents some outcomes in connection with stability analysis corresponding to parametric conic vector optimization problems. For these last optimization problems, two novel types of P-Stability maps, which are the P-Stability notion map and the P-Stability perturbation map, are considered based on six kinds of sets: P-feasible set, P-solvability set, the first, second, third, and fourth kinds of P-Stability notion sets with respect to a specific domination cone P. Furthermore, qualitative characteristics of the P-Stability maps under some continuity and convexity assumptions on the objective function are provided and proved. Specifically, the connections between the P-Stability maps and the P-Stability notion set are investigated. Accordingly, these characteristics were extended to the P-perturbation maps. In addition, the idea of P stability has heavily used in different applications like network privacy, engineering fields, and some business financial models. |
| id | budr_68d5d021dbe54eeabd8975d7f17e4ad2 |
| identifier_str_mv | Tharwat, A., Mourad, N. and Mosilhy, M. (2024) “Mathematical Analysis of P-Stability Maps for Parametric Conic Vector Optimization,” Emirati Journal of Business, Economics, & Social Studies, 3(1), pp. 4–13. 2791-3171 |
| language_invalid_str_mv | en_US |
| network_acronym_str | budr |
| network_name_str | The British University in Dubai repository |
| oai_identifier_str | oai:bspace.buid.ac.ae:1234/3081 |
| publishDate | 2024 |
| publisher.none.fl_str_mv | Emirates scholar |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | Mathematical Analysis of P-Stability Maps for Parametric Conic Vector OptimizationA. Tharwat, AssemMourad, NahiaA. Mosilhy, MohammedParametric Vector Optimization Problems (PVOP); Domination Cone; Perturbation Maps; Set-valued Maps; Stability NotionsStability analysis for nonlinear programming systems deals with the possible changes of the system parameters and/or equations that maintain the stability of the solutions. It is a crucial requirement to study the nonlinear system and its practical values, specifically the economic impact in most real-world applications. This paper presents some outcomes in connection with stability analysis corresponding to parametric conic vector optimization problems. For these last optimization problems, two novel types of P-Stability maps, which are the P-Stability notion map and the P-Stability perturbation map, are considered based on six kinds of sets: P-feasible set, P-solvability set, the first, second, third, and fourth kinds of P-Stability notion sets with respect to a specific domination cone P. Furthermore, qualitative characteristics of the P-Stability maps under some continuity and convexity assumptions on the objective function are provided and proved. Specifically, the connections between the P-Stability maps and the P-Stability notion set are investigated. Accordingly, these characteristics were extended to the P-perturbation maps. In addition, the idea of P stability has heavily used in different applications like network privacy, engineering fields, and some business financial models.Emirates scholar2025-05-21T16:17:48Z2025-05-21T16:17:48Z2024-02-03ArticleTharwat, A., Mourad, N. and Mosilhy, M. (2024) “Mathematical Analysis of P-Stability Maps for Parametric Conic Vector Optimization,” Emirati Journal of Business, Economics, & Social Studies, 3(1), pp. 4–13.2791-3171https://bspace.buid.ac.ae/handle/1234/3081https://doi.org/10.54878/wf7f4t04.en_USEmirati Journal of Business, Economics, & Social Studiesv3 n1 (20240116): 4-13oai:bspace.buid.ac.ae:1234/30812026-01-29T13:57:13Z |
| spellingShingle | Mathematical Analysis of P-Stability Maps for Parametric Conic Vector Optimization A. Tharwat, Assem Parametric Vector Optimization Problems (PVOP); Domination Cone; Perturbation Maps; Set-valued Maps; Stability Notions |
| title | Mathematical Analysis of P-Stability Maps for Parametric Conic Vector Optimization |
| title_full | Mathematical Analysis of P-Stability Maps for Parametric Conic Vector Optimization |
| title_fullStr | Mathematical Analysis of P-Stability Maps for Parametric Conic Vector Optimization |
| title_full_unstemmed | Mathematical Analysis of P-Stability Maps for Parametric Conic Vector Optimization |
| title_short | Mathematical Analysis of P-Stability Maps for Parametric Conic Vector Optimization |
| title_sort | Mathematical Analysis of P-Stability Maps for Parametric Conic Vector Optimization |
| topic | Parametric Vector Optimization Problems (PVOP); Domination Cone; Perturbation Maps; Set-valued Maps; Stability Notions |
| url | https://bspace.buid.ac.ae/handle/1234/3081 https://doi.org/10.54878/wf7f4t04. |