# Fixed point theorems for middle point linear operators in $L^1$

created by chermisi on 17 Sep 2008
modified on 15 Apr 2010

[BibTeX]

Published Paper

Inserted: 17 sep 2008
Last Updated: 15 apr 2010

Journal: Fixed Point Theory and Applications
Year: 2008

Abstract:

In this paper we introduce the notion of middle point linear operators. We prove a fixed point result for middle point linear operators in $L^1$. We then present some examples and, as an application, we derive a Markov-Kakutani type fixed point result for commuting family of $\alpha$-nonexpansive and middle point linear operators in $L^1$.