Fixed point of generalized contractive maps on $S^{JS}$-metric spaces with two metrics
Subject Areas : Applied Mathematics
Kushal
Roy
1
(Department of Mathematics, The University of Burdwan, Purba
Bardhaman -713104, West Bengal, India)
Mantu
Saha
2
(Department of Mathematics, The University of Burdwan, Purba
Bardhaman -713104, West Bengal, India)
Ismat
Beg
3
(Centre for Mathematics and Statistical Sciences, Lahore
School of Economics, Lahore - 53200, Pakistan)
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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