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

Common Fixed Point Theorems for Hybrid Pairs of Occasionally Weakly Compatible Mappings Satisfying Generalized Contractive Condition of Integral Type

Mujahid Abbas1,2 and B. E. Rhoades1

 1Department of Mathematics, Indiana University, Bloomington 47405-7106, IN, USA
2Department of Mathematics, Lahore University of Management Sciences, Lahore 54792, Pakistan
Received 29 January 2007; Accepted 10 June 2007

Recommended by Massimo Furi

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.