Gregus type fixed points for a tangential multivalued mappings satisfying contractive conditions of integral type

Abstract

In this article, we define a tangential property which can be used not only for singlevalued mappings but also for multi-valued mappings, and used it in the prove for the existence of a common fixed point theorems of Gregus type for four mappings satisfying a strict general contractive condition of integral type in metric spaces. Our theorems generalize and unify main results of Pathak and Shahzad (Bull. Belg. Math. Soc. Simon Stevin 16, 277-288, 2009) and several known fixed point results. © 2011 Sintunavarat and Kumam; licensee Springer.