Relations between multidimensional interval-valued variational problems and variational inequalities

Title:

Relations between multidimensional interval-valued variational problems and variational inequalities

Creator:

Jayswal, Anurag and Baranwal, Ayushi

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:1cbd669d-f75f-4415-bb78-eb17c11fcb97
uuid:1cbd669d-f75f-4415-bb78-eb17c11fcb97
doi:10.14736/kyb-2022-4-0564

Subject:

LU -convexity, LU -optimal solution, multi-dimensional inter-valued variational problem, and variational inequality

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/licenses/by-nc-sa/4.0/
policy:public

Coverage:

564-577

Source:

Kybernetika | 2022 Volume:58 | Number:4

Harvested from:

CDK

Metadata only:

false