Some Results on Necessary Conditions for Tow Quasidifferentiable Optimization Problems

global results on some nonlinear partial differential equations for direct and inverse problems

در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...

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.

Sufficient Optimality Conditions and Mond- Weir Duality for Quasidifferentiable Optimization Problems with Univex Functions

In the paper, a nonconvex quasidifferentiable optimization problem with the inequality constraints is considered. The concept of a univex function with respect to a convex compact set is introduced. Further, the sufficient optimality conditions and several duality results in the sense of Mond-Weir are established for the considered quasidifferentiable optimization problem under assumption that ...

Necessary Optimality Conditions for Optimization Problems with Variational Inequality Constraints

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Necessary Conditions for Discrete Parameter Stochastic Optimization Problems

Necessary optimality conditions for bilevel set optimization problems

In this work, we use a notion of convexificator [25] together with the support function [3, 4, 15, 16, 41] to establish necessary optimality conditions for set valued bilevel optimization problems. Fortunately, the Lipschitz property of a set-valued mapping is conserved for its support function. An intermediate set-valued optimization problem is introduced to help us in our investigation.