| Title:
|
Relations between multidimensional interval-valued variational problems and variational inequalities (English) |
| Author:
|
Jayswal, Anurag |
| Author:
|
Baranwal, Ayushi |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
58 |
| Issue:
|
4 |
| Year:
|
2022 |
| Pages:
|
564-577 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we introduce a new class of variational inequality with its weak and split forms to obtain an $LU$-optimal solution to the multi-dimensional interval-valued variational problem, which is a wider class of interval-valued programming problem in operations research. Using the concept of (strict) $LU$-convexity over the involved interval-valued functionals, we establish equivalence relationships between the solutions of variational inequalities and the (strong) $LU$-optimal solutions of the multi-dimensional interval-valued variational problem. In addition, some applications are constructed to illustrate the established results. (English) |
| Keyword:
|
$LU$-convexity |
| Keyword:
|
$LU$-optimal solution |
| Keyword:
|
multi-dimensional inter-valued variational problem |
| Keyword:
|
variational inequality |
| MSC:
|
26B25 |
| MSC:
|
26D10 |
| MSC:
|
49J40 |
| MSC:
|
90C30 |
| idZBL:
|
Zbl 07655847 |
| idMR:
|
MR4521856 |
| DOI:
|
10.14736/kyb-2022-4-0564 |
| . |
| Date available:
|
2022-12-02T13:14:41Z |
| Last updated:
|
2023-03-13 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151165 |
| . |
| Reference:
|
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| . |
