A common fixed point theorem for weakly compatible mappings in symmetric spaces satisfying an integral type contractive condition

Abstract

In this note a common fixed point theorem for weakly compatible map- pings satisfying a contractive condition of integral type and the common (E.A) property is established in symmetric spaces. This theorem gen- eralizes and improves results of M. Aamri and D. El Moutawakil (Com- mon fixed points under contractive conditions in symmetric spaces, Applied Mathematics E-notes 3, 156–162, 2003; Some new common fixed point theorems under strict contractive conditions, J. Math. Anal. Appl. 270, 181–188, 2002) and Abdelkrim Aliouche (A common fixed point theorem for weakly compatible mappings in symmetric spaces sat- isfying a contractive condition of integral type, J. Math. Anal. Appl. 322 (2), 796–802, 2006).