Fixed point of generalized contractive maps on $S^{JS}$-metric spaces with two metrics

Subject Areas : Applied Mathematics

Kushal Roy ¹ , Mantu Saha ² , Ismat Beg ³

1 - Department of Mathematics, The University of Burdwan, Purba Bardhaman -713104, West Bengal, India
2 - Department of Mathematics, The University of Burdwan, Purba Bardhaman -713104, West Bengal, India
3 - Centre for Mathematics and Statistical Sciences, Lahore School of Economics, Lahore - 53200, Pakistan

Received: 2020-02-15 Accepted : 2020-02-26 Published : 2022-05-01

Keywords: $S^{JS}$- metric space, fixed point, Geraghty type contractive map, interpolative Hardy-Rogers type contractive map, $\mathcal{Z}$-contractive map,

Abstract :

In this paper we prove the existence of fixed point theorems for $\mathcal{Z}$-contractive map, Geraghty type contractive map and interpolative Hardy-Rogers type contractive mapping in the setting of $S^{JS}$metric spaces with two metrics. Examples are constructed to highlight the significance of newly obtained results.

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