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A common fixed point theorem of Fisher in b-metric spaces
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A common fixed point theorem of Fisher in b-metric spaces

Nawab Hussain, Zoran D. Mitrovic and Stojan Radenovic
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, Vol.113(2), pp.949-956
01/04/2019

Abstract

Mathematics Multidisciplinary Sciences Physical Sciences Science & Technology Science & Technology - Other Topics
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 Jovanovi 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.

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