Cone-Henig Subdifferentials of Set-Valued Maps in Locally Convex Spaces.
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 5, Issue 3
Abstract
In locally convex spaces, the concepts of cone-Henig subgradient and cone-Henig subdifferential for the set-valued mapping are introduced through the linear functionals. The theorems of existence for Henig efficient point and cone-Henig subdifferential are proposed, and the sufficient and necessary condition for a linear functional being a cone-Henig subgradient is established.
Authors and Affiliations
Guolin Yu
Keywords
Related Articles
- EP ID EP651282
- DOI 10.24297/jam.v5i3.7241
- Views 175
- Downloads 0
Dynamics of certain anti-competitive systems of rational difference equations in the plane
In this paper, we consider a system of rational difference equations and we will prove that the unique positive equilibrium point of this system is globally asymptotically stable. We also determine the rate of convergenc...
Supra Soft b-Compact and Supra Soft b-Lindle÷F Spaces
The purpose of this paper is to introduce and study the concepts of supra soft b-compact and supra soft b-Lindelˆf spaces. Also we study several of their properties and characterizations in details. Furthermore...
Radius of Strong Starlikeness for Some Classes of Analytic Functions
Let φ(z) be an analytic function with positive real part on ∆ ={z; |z| < 1} with φ(0) = 1, φ0(0) > 0 which maps the unit disk ∆ ontoa region starlike with respect to 1 and symmetric with respect to the real...
MHD DYNAMIC BOUNDARY LAYER FLOW OVER A PLANE PLAQUE
The problem of MHD dynamic boundary layer fluid sliding flow over a plane plaque is investigated. The von Karman™s integral method is applied to integrating the governing system of partial differential equations ov...
Some local Forms of Known Convergences of Sequence of Real Valued Functions
Using the notions of local uniform and strong local uniform con-vergence for the sequence of real valued functions or with value in metric space, the class of locally equally and strong locally equally convergences are s...