[Home ] [Archive]    
:: Main :: About :: Current Issue :: Archive :: Search :: Submit :: Registration ::
:: Volume 9, Issue 2 (6-2018) ::
IJOR 2018, 9(2): 15-30 Back to browse issues page
On Optimality Conditions via Weak Subdifferential and Augmented Normal Cone
Ali Farajzadeh Prof. , Parisa Cheraghi Dr
Razi University of Kermanshah , farajzadehali@gmail.com
Abstract:   (1633 Views)
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.
Keywords: Subgradient, Weak subgradient, Normal cone, Augmented normal cone, Frechet differentiable function, Locally Lipchitz function.
Full-Text [PDF 275 kb]   (1931 Downloads)    
Type of Study: Original | Subject: Continuous Optimization
Received: 2019/12/5 | Accepted: 2019/12/5 | Published: 2019/12/5
Send email to the article author

Add your comments about this article
Your username or Email:


XML     Print

Volume 9, Issue 2 (6-2018) Back to browse issues page
مجله انجمن ایرانی تحقیق در عملیات Iranian Journal of Operations Research
Persian site map - English site map - Created in 0.05 seconds with 30 queries by YEKTAWEB 4256