Fixed Point Theory and Applications
Volume 2007 (2007), Article ID 54101, 9 pages
doi:10.1155/2007/54101

Common fixed point theorems for hybrid pairs of occasionally weakly compatible mappings satisfying generalized contractive condition of integral type

Mujahid Abbas and B.E. Rhoades

Department of Mathematics, Indiana University, Bloomington, IN 47405-7106, USA

Abstract

We obtain several fixed point theorems for hybrid pairs of single-valued and multivalued occasionally weakly compatible maps defined on a symmetric space satisfying a contractive condition of integral type. The results of this paper essentially contain every theorem on hybrid and multivalued self-maps of a metric space as a special case.