On local quasi efficient solutions for nonsmooth vector optimization problems
We are interested in local quasi efficient solutions for nonsmooth vector optimization problems under new generalized approximate invexity assumptions. We formulate necessary and sufficient optimality conditions based on Stampacchia and Minty types of vector variational inequalities involving Clarke...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Croatian Operational Research Society
2020-01-01
|
| Series: | Croatian Operational Research Review |
| Online Access: | https://hrcak.srce.hr/file/349410 |
| _version_ | 1828966727699922944 |
|---|---|
| author | Mohsine Jennane Lhoussain El Fadil El Mostafa Kalmoun |
| author_facet | Mohsine Jennane Lhoussain El Fadil El Mostafa Kalmoun |
| author_sort | Mohsine Jennane |
| collection | DOAJ |
| description | We are interested in local quasi efficient solutions for nonsmooth vector optimization problems under new generalized approximate invexity assumptions. We formulate necessary and sufficient optimality conditions based on Stampacchia and Minty types of vector variational inequalities involving Clarke's generalized Jacobians. We also establish the relationship between local quasi weak efficient solutions and vector critical points. |
| first_indexed | 2024-12-14T11:36:22Z |
| format | Article |
| id | doaj.art-631cf246e26f4107a651de78f2e0dda4 |
| institution | Directory Open Access Journal |
| issn | 1848-0225 1848-9931 |
| language | English |
| last_indexed | 2024-12-14T11:36:22Z |
| publishDate | 2020-01-01 |
| publisher | Croatian Operational Research Society |
| record_format | Article |
| series | Croatian Operational Research Review |
| spelling | doaj.art-631cf246e26f4107a651de78f2e0dda42022-12-21T23:03:00ZengCroatian Operational Research SocietyCroatian Operational Research Review1848-02251848-99312020-01-0111111010.17535/crorr.2020.0001240679On local quasi efficient solutions for nonsmooth vector optimization problemsMohsine Jennane0Lhoussain El Fadil1El Mostafa Kalmoun2Faculty of Sciences Dhar El Mahraz, Sidi Mohammed Ben Abdellah University, MoroccoFaculty of Sciences Dhar El Mahraz, Sidi Mohammed Ben Abdellah University, MoroccoDepartment of Mathematics, Statistics and Physics, Qatar University, Doha, QatarWe are interested in local quasi efficient solutions for nonsmooth vector optimization problems under new generalized approximate invexity assumptions. We formulate necessary and sufficient optimality conditions based on Stampacchia and Minty types of vector variational inequalities involving Clarke's generalized Jacobians. We also establish the relationship between local quasi weak efficient solutions and vector critical points.https://hrcak.srce.hr/file/349410 |
| spellingShingle | Mohsine Jennane Lhoussain El Fadil El Mostafa Kalmoun On local quasi efficient solutions for nonsmooth vector optimization problems Croatian Operational Research Review |
| title | On local quasi efficient solutions for nonsmooth vector optimization problems |
| title_full | On local quasi efficient solutions for nonsmooth vector optimization problems |
| title_fullStr | On local quasi efficient solutions for nonsmooth vector optimization problems |
| title_full_unstemmed | On local quasi efficient solutions for nonsmooth vector optimization problems |
| title_short | On local quasi efficient solutions for nonsmooth vector optimization problems |
| title_sort | on local quasi efficient solutions for nonsmooth vector optimization problems |
| url | https://hrcak.srce.hr/file/349410 |
| work_keys_str_mv | AT mohsinejennane onlocalquasiefficientsolutionsfornonsmoothvectoroptimizationproblems AT lhoussainelfadil onlocalquasiefficientsolutionsfornonsmoothvectoroptimizationproblems AT elmostafakalmoun onlocalquasiefficientsolutionsfornonsmoothvectoroptimizationproblems |