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Relations between multidimensional interval-valued variational problems and variational inequalities

Anurag JayswalAyushi Baranwal — 2022

Kybernetika

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

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