1. Relations between multidimensional interval-valued variational problems and variational inequalities
- Creator:
- Jayswal, Anurag and Baranwal, Ayushi
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- LU -convexity, LU -optimal solution, multi-dimensional inter-valued variational problem, and variational inequality
- Language:
- English
- 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.
- Rights:
- http://creativecommons.org/licenses/by-nc-sa/4.0/ and policy:public