Some Fixed Point Results in Complete b-Metric Spaces

Abstract

The aims of this paper are threefold: the first is to prove the existence and uniqueness of common fixed points for two pairs of maps satisfying a new concept in a complete b-metric space, the second purpose is to produce two illustrative examples; on one hand, to show the applicability, validity and credibility of our results, and on the other hand, to show their superiority over several results, for instance the one’s of Roshan et al. [17], and the third and last objective is to apply one of our results to solve an integral equation.

Keywords: Complete b-metric spaces; occasionally weakly biased maps of type (A); unique common fixed points; integral equation.

2010 Mathematics Subject Classification. 47H10; 54H25