A NONLINEAR ERGODIC THEOREM FOR A NEW CLASS OF NONLINEAR MAPPINGS IN HILBERT SPACES

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.
Year	2017
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.

Hossein Piri

Research

Abstract