MATEMATI‚ČKI VESNIKVol. 70, No. 3, pp. 204–210 (2018)
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MATEMATI‚ČKI VESNIK Vol. 70, No. 3, pp. 204–210 (2018) |
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A fixed point theorem for mappings with a contractive iterate in rectangular $b$-metric spacesZ. Mitrovi‚ćUniversity of Banja Luka, Faculty of Electrical Engineering, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina E-mail: zmitrovic@etfbl.net, zoran.mitrovic@etf.unibl.orgAbstract: In this paper, we give a proof for Sehgal-Guseman theorem of fixed point in rectangular $b$-metric spaces. Our result is supported with a suitable example. As a corollary of our results, we obtain fixed point results of contraction mappings in $b$-metric spaces. Keywords: Fixed points, rectangular $b$-metric space. Classification (MSC2000): 47H10 Full text of the article: (for faster download, first choose a mirror)
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