Some new fixed point results for single valued mappings in b-metric spaces

Abstract

In recent investigations, the study of coincidence points and common fixed points is a new development in the domain of contractive type single valued theory. In this paper, we introduce the concepts of some new generalized contractive type mappings in b-metric spaces and discuss the existence and uniqueness of their fixed points. As some applications of this study, we obtain some coincidence point and common fixed point results for a pair of single valued mappings in b-metric spaces. Our results generalize, extend and unify several well known comparable results in the existing literature. Finally, we give some examples to justify the validity of our results.