A nonlinear ergodic theorem for 2-generalized hybrid mappings in Hilbert spaces, By Hossein Piri

Research

Title	A nonlinear ergodic theorem for 2-generalized hybrid mappings in Hilbert spaces
Type	Presentation
Keywords	Generalized hybrid mapping, Hilbert spaces, Fixed point
Researchers	Hossein Piri، Mostafa Ghasemi

Abstract

In this paper, we first consider a broad class of nonlinear mappings [4] containing the class of ($\alpha$, $\beta$)-generalized hybrid mappings [2] in a Hilbert space. Then, we prove a mean ergodic theorem of Baillon type [1] for nonlinear mappings in Hilbert spaces.