Common Fixed Point of Multivalued Generalized φ-Weak Contractive Mappings

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).