Weak convergence of infinite products of operators in Hadamard spaces

Abstract:

We first prove the weak convergence of iterates of both products and convex combinations of strongly nonexpansive operators in complete CAT(0) spaces. Then we establish the weak convergence of infinite products of possibly discontinuous approximations to such operators. Our main focus is on nearest point projections.

Año de publicación:

2016

Keywords:

• CAT(0)  space
• Convex combination
• Exact orbit
• Firmly nonexpansive operator
• Hadamard space
• Inexact orbit
• Infinite product
• Nearest point projection
• Strongly nonexpansive operator
• Weak convergence

Fuente:

scopus