2024/02/23 by Alizadeh, Mohammad Hossein, Zanjani, Alireza Youhannaee
#47H05 #F.2.2 #FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.2402.15597
We introduce and study the notion of (e,y)-conjugate for a proper and e-convex function in locally convex spaces, which is an extension of the concept of the conjugate. The mutual relationships between the concepts of (e,y)-conjugacy and e-subdifferential are presented. Moreover, some applications of these notions in optimization are established.