Optimality and Duality in Nondifferentiable Multiobjective Optimization Involvingd-Type I and Related Functions

AbstractIn this paper new classes of functions, namelyd-type-I,d-quasitype-I, andd-pseudo type-I, are defined for a multiobjective nondifferentiable programming problem. Kuhn–Tucker-type necessary and sufficient optimality conditions are obtained for a feasible point to be a weak minimum for this problem. Two duals are formulated and various duality results are given by using the above defined classes of functions, considering the concept of a weak minimum