| Title:
|
Optimality conditions for an interval-valued vector problem (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:
|
2 |
| Year:
|
2025 |
| Pages:
|
221-237 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The present article considers a nonsmooth interval-valued vector optimization problem with inequality constraints. We first figure out Fritz John and Karush-Kuhn-Tucker type necessary optimality conditions for the interval-valued problem designed in the paper under quasidifferentiable $\mathfrak{F}$-convexity in connection with compact convex sets. Subsequently, sufficient optimality conditions are extrapolated under aforesaid quasidifferentiability supported by a suitable numerical example. (English) |
| Keyword:
|
interval-valued vector optimization problem |
| Keyword:
|
quasidifferentiable $\mathfrak {F}$-convexity |
| Keyword:
|
LU-Pareto optimality |
| MSC:
|
49J52 |
| MSC:
|
90C26 |
| MSC:
|
90C29 |
| MSC:
|
90C30 |
| DOI:
|
10.14736/kyb-2025-2-0221 |
| . |
| Date available:
|
2025-06-02T09:53:43Z |
| Last updated:
|
2025-06-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/152989 |
| . |
| Reference:
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