Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 708984, 13 pages
doi:10.1155/2010/708984
Common Fixed Point of Multivalued Generalized φ-Weak Contractive Mappings
Behzad Djafari Rouhani1
and Sirous Moradi2
1Department of Mathematical Sciences, University of Texas at El Paso, El Paso, TX 79968, USA
2Department of Mathematics, Faculty of Science, University of Arak, Arak 38156-879, Iran
Abstract
Fixed point and coincidence results are presented for multivalued generalized φ-weak contractive mappings on complete metric spaces, where φ:[0,+∞)→[0,+∞) is a lower semicontinuous function with φ(0)=0 and φ(t)>0 for all t>0. Our results extend previous results by Zhang and Song (2009), as well as by Rhoades (2001), Nadler (1969), and Daffer and Kaneko (1995).