SOME NEW FIXED POINT RESULTS FOR SINGLE VALUED MAPPINGS IN b-METRIC SPACES

SOME NEW FIXED POINT RESULTS FOR SINGLE VALUED MAPPINGS IN b-METRIC SPACES

S. K. Mohanta

[PDF]

Abstract

In recent investigations, the study of coincidence points and common  xed 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 map- pings in b-metric spaces and discuss the existence and uniqueness of their  xed points. As some applications of this study, we obtain some coincidence point and common  xed point results for a pair of single valued mappings in b-metric spaces. Our results gener- alize, extend and unify several well known comparable results in the existing literature. Finally, we give some examples to justify the validity of our results.

Keywords

b-metric, weakly compatible mappings, coincidence point,  xed point.