Duality for Multiobjective Optimization Involving Extended (F, alpha, rho, d)-type I Functions

In this paper, the extended (F, α, ρ, d)-type I functions are introduced for a differentiable multiobjective programming problem. Under the assumptions of these generalized functions, weak and converse dual theorems are established for Mond-Weir duality in constraint multiobjective optimization problem. The results deepen and enrich the content of optimization theory and applications.