Common fixed points of hybrid maps and an application

Abstract

We introduce a new notion that is a generalization of Definition 2.1, Kamran and Cakić (2008) [3]. Using this notion, we establish a new result, that is, coincidence and fixed points for two hybrid pairs of nonself-maps satisfying an implicit relation. This result generalizes the multivalued version of some known results (see, Imdad and Ali (2007) [12] and the references therein). Also, the same result generalizes Theorem 2.8, Liu et al. (2005) [4]. As application, we prove a coincidence point theorem for hybrid nonself-maps in product spaces.