S. Ranjbar
Department of Mathematics, College of Sciences, Higher Education Center of Eghlid, Eghlid, Iran.
[ 1 ] - W-convergence of the proximal point algorithm in complete CAT(0) metric spaces
In this paper, we generalize the proximal point algorithm to complete CAT(0) spaces and show that the sequence generated by the proximal point algorithm $w$-converges to a zero of the maximal monotone operator. Also, we prove that if $f: Xrightarrow ]-infty, +infty]$ is a proper, convex and lower semicontinuous function on the complete CAT(0) space $X$, then the proximal...
[ 2 ] - Convexity and Geodesic Metric Spaces
In this paper, we first present a preliminary study on metric segments and geodesics in metric spaces. Then we recall the concept of d-convexity of sets and functions in the sense of Menger and study some properties of d-convex sets and d-convex functions as well as extreme points and faces of d-convex sets in normed spaces. Finally we study the continuity of d-convex functions in geodesic metr...
نویسندگان همکار