| Title:
|
Optimality conditions for interval-valued vector equilibrium problems (English) |
| Author:
|
Prasad, Ashish Kumar |
| Author:
|
Khatri, Julie |
| Author:
|
Ahmad, Izhar |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
61 |
| Issue:
|
5 |
| Year:
|
2025 |
| Pages:
|
688-711 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the article, one formulates Fritz John type and Karush-Kuhn-Tucker type necessary conditions for an interval-valued vector equilibrium problem having a locally LU-efficient solution, where convexificators demonstrate the solutions that are regular. Sufficient conditions for a locally weak LU-efficient solution have been entrenched by imposing appropriate assumptions along with generalized convexity. Some applications are presented for a constrained interval-valued vector variational inequality and a constrained interval-valued vector optimization problem. (English) |
| Keyword:
|
interval-valued vector equilibrium problem |
| Keyword:
|
locally LU-efficient solution |
| Keyword:
|
optimality |
| Keyword:
|
convexificators |
| MSC:
|
49J52 |
| MSC:
|
90C46 |
| MSC:
|
91B50 |
| DOI:
|
10.14736/kyb-2025-5-0688 |
| . |
| Date available:
|
2025-12-19T22:35:32Z |
| Last updated:
|
2025-12-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/153210 |
| . |
| Reference:
|
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| . |
