Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 648591, 13 pages
doi:10.1155/2008/648591
Fixed Point Theorems for Middle Point Linear Operators in L1
Milena Chermisi1
and Anna Martellotti2
1Fachbereich Mathematik, Universität Duisburg-Essen, Lotharstraße 65, 47057 Duisburg, Germany
2Dipartimento di Matematica e Informatica, Università di Perugia, via Vanvitelli 1, 06123 Perugia, Italy
Abstract
We introduce the notion of middle point linear operators. We prove a fixed point result for middle point linear operators in L1. We then present some examples and, as an application, we derive a Markov-Kakutani type fixed point result for commuting family of α-nonexpansive and middle point linear operators in L1.