Necessary conditions for vector optimization in infinite dimension

Some Results on Necessary Conditions for Tow Quasidifferentiable Optimization Problems

Mangasarian-Fromovitz and Zangwill Conditions For Non-Smooth Infinite Optimization problems in Banach Spaces

In this paper we study optimization problems with infinite many inequality constraints on a Banach space where the objective function and the binding constraints are Lipschitz near the optimal solution. Necessary optimality conditions and constraint qualifications in terms of Michel-Penot subdifferential are given.

On Necessary Conditions for Nonlipschitz Optimization Problems

In this paper, we establish a nessary condition for nonlipschitz constrained optimization problems in terms of Fréchet subdifferentials and normal cones in Asplund spaces.

Necessary Optimality Conditions for εe–Pareto Solutions in Vector Optimization with Empty Interior Ordering Cones

We present new necessary optimality conditions for εe–Pareto optimal solutions of constrained vector optimization problems with empty interior ordering cones. We use the dual-space approach based on advanced tools of variational analysis and generalized differentiation. It allows us not implement any scalarization technique while be able to establish necessary results for nonconvex and nonsolid...

General necessary conditions for infinite horizon fractional variational problems

We consider infinite horizon fractional variational problems, where the fractional derivative is defined in the sense of Caputo. Necessary optimality conditions for higher-order variational problems and optimal control problems are obtained. Transversality conditions are obtained in the case state functions are free at the initial time.