Optimality Conditions for Invex Interval Valued Nonlinear Programming Problems involving Generalized H-Derivative

Abstract

In this paper some interval valued programming problems are discussed. The solution concepts are adopted from Wu [33] and Chalco-Cano et al. [12]. By considering generalized Hukuhara differentiability and generalised convexity (viz. preinvexity, invextiy etc.) of interval valued functions, the KKT optimality conditions for obtaining (  and ) optimal solutions are elicited by introducing Lagrangian multipliers. Our results generalise the results of Wu [33], Zhang et al. [35] and Chalco-Cano et al. [12].To illustrate our theorems suitable examples are also provided.