Existence of solution of constrained interval optimization problems with regularity concept

Objective of this article is to study the conditions for existence efficient solution interval optimization problem with inequality constraints. Here active constraints are considered in inclusion form. The regularity condition Karush–Kuhn–Tucker point derived. This depends on interval-valued gradient function These new concepts literature optimization. gH-differentiability used theoretical developments. gH-pseudo convexity valued constrained problems introduced sufficient conditions. Theoretical developments verified through numerical examples.