A common fixed point theorem of Fisher in b-metric spaces
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In this paper we have given a proof for Fisher contraction principle in b-metric spaces with increased range of the Lipschitzian constants and without continuity of the b-metric function, to generalize some of the results proved in Jovanović et al. (Fixed Point Theory Appl, 2010) and many others. Simple example is given to illustrate the validity and superiority of our results. As the applications of our results, we obtain fixed point theorems of Jungck and Banach in b-metric spaces.
KeywordsFixed points Common fixed points B-metric space B-compatible
Mathematics Subject Classification47H10
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