Some properties of geodesic semi E-b-vex functions
In this study, we introduce a new class of function called geodesic semi E-b-vex functions and generalized geodesic semi E-b-vex functions and discuss some of their properties.
The barrier cone of a convex set and the closure of the cover.
The distance between subdifferentials in the terms of functions
For convex continuous functions defined respectively in neighborhoods of points in a normed linear space, a formula for the distance between and in terms of (i.eẇithout using the dual) is proved. Some corollaries, like a new characterization of the subdifferential of a continuous convex function at a point, are given. This, together with a theorem from [4], implies a sufficient condition for a family of continuous convex functions on a barrelled normed linear space to be locally uniformly...
The operation of infimal convolution [Book]
The sum of two plane convex C... sets is not always C...