The nonlinear ergodic theorems in Banach space, By Shahram Saeidi

Research

Title	The nonlinear ergodic theorems in Banach space
Type	JournalPaper
Keywords	Amenable semigroup- Common fixed point- Mappings of type (gamma)- Nonexpansive mapping- Nonlinear ergodic theorem
Year	2007
Journal	Italian Journal of Pure and Applied Mathematics
DOI
Researchers	Shahram Saeidi

Abstract

In this paper, we study nonlinear ergodic properties for an amenable semigroup of nonexpansive mappings in a Banach space in our version. Among other things, we prove the existence of an ergodic retraction onto the common fixed point set of a specific amenable semigroup of nonexpansive mappings