Optimality Conditions for Nonsmooth Quasi-Convex Optimization Problems Using E-Upper Regular Convexificators

In this paper, firstly, some relationships between -upper regular convexificator notion and Greenberg Pierskalla subdifferentials are investigated. Then, we consider a constrained nonsmooth quasi-convex optimization problem. Utilizing e-upper regular convexificator notion and Greenberg Pierskalla subdifferentials, we derive KKT type necessary optimality conditions for this problem without using constraint qualifications. The obtained outcomes extend some results existing in the literature

کلیدواژه ها:

Nonsmooth optimization ، -upper regular convexificator ، Quasi-convexity ، Greenberg Pierskalla subdifferentials ، KKT conditions.