Relations between multidimensional interval-valued variational problems and variational inequalities
In this paper, we introduce a new class of variational inequality with its weak and split forms to obtain an -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) -convexity over the involved interval-valued functionals, we establish equivalence relationships between the solutions of variational inequalities and the (strong) -optimal solutions of the multi-dimensional...