:: جلد 9، شماره 2 - ( 3-1397 ) ::
جلد 9 شماره 2 صفحات 15-30 برگشت به فهرست نسخه ها
On Optimality Conditions via Weak Subdifferential and Augmented Normal Cone
چکیده:   (1863 مشاهده)
In this paper, we investigate relation between weak subdifferential and augmented normal cone. We define augmented normal cone via weak subdifferential and vice versa. The necessary conditions for the global maximum are also stated. We produce preliminary properties of augmented normal cones and discuss them via the distance function. Then we obtain the augmented normal cone for the indicator function. Relation between weak subifferential and augmented normal cone and epigraph is also explored. We also obtain optimality conditions via weak subdifferential and augmented normal cone. Finally, we define the Stampacchia and Minty solution via weak subdifferential and investigate the relation between Stampacchia and Minty solution and the minimal point.
متن کامل [PDF 275 kb]   (2199 دریافت)    
نوع مطالعه: پژوهشی | موضوع مقاله: Continuous Optimization
دریافت: 1398/9/14 | پذیرش: 1398/9/14 | انتشار: 1398/9/14


XML   English Abstract   Print



جلد 9، شماره 2 - ( 3-1397 ) برگشت به فهرست نسخه ها