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

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia

    Nawab Hussain

  2. University of Banja Luka, Faculty of Electrical Engineering, Patre 5, 78000, Banja Luka, Bosnia and Herzegovina

    Zoran D. Mitrović

  3. University of Belgrade, Faculty of Mechanical Engineering, Kraljice Marije 16, 11101, Beograd 35, Serbia

    Stojan Radenović

Authors
  1. Nawab Hussain
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  2. Zoran D. Mitrović
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  3. Stojan Radenović
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Correspondence to Zoran D. Mitrović.

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Hussain, N., Mitrović, Z.D. & Radenović, S. A common fixed point theorem of Fisher in b-metric spaces. RACSAM 113, 949–956 (2019). https://doi.org/10.1007/s13398-018-0524-x

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  • DOI: https://doi.org/10.1007/s13398-018-0524-x

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