Strong m-Convexity of Set-Valued Functions

Abstract

In this research we introduce the concept of strong m-convexity for set-valued functions defined on m-convex subsets of real linear normed spaces, a variety of properties and examples of these functions are shown, an inclusion of Jensen type is also exhibited.

Keywords

• m-convex set
• strongly m-convex set-valued function
• jensen type inclusion
• normed space
• 26a51
• 52a30