A NONLINEAR ERGODIC THEOREM FOR A NEW CLASS OF NONLINEAR MAPPINGS IN HILBERT SPACES, By Hossein Piri

Research

Title	A NONLINEAR ERGODIC THEOREM FOR A NEW CLASS OF NONLINEAR MAPPINGS IN HILBERT SPACES
Type	Presentation
Keywords	Hilbert space, nonexpansive mapping, ergodic theorem, hybrid mapping, metric projection.
Researchers	Asghar Rahimi، Hossein Piri، Mostafa Ghasemi

Abstract

In this paper, we first consider a broad class of nonlinear mappings containing the class of (α,β)-generalized hybrid mappings in Hilbert spaces. Finally, we prove an ergodic theorem of Baillon’s type for these nonlinear mappings.