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

In this paper, some interval valued programming problems are discussed. The solution concepts are adopted fromWu [7] and Chalco-Cano et al. [34]. By considering generalized Hukuhara differentiability and generalized convexity (viz. η-preinvexity, η-invexity etc.) of interval valued functions, the KKT optimality conditions for obtaining (LS and LU) optimal solutions are elicited by introducing Lagrangian multipliers. Our results generalize the results of Wu [7], Zhang et al. [11] and Chalco-Cano et al. [34]. To illustrate our theorems suitable examples are also provided.