Fixed points of almost generalized weakly contractive maps with rational expressions in \(S\)-metric spaces
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DOI:
https://doi.org/10.26637/MJM0802/0047Abstract
In this paper, we prove the existence and uniqueness of fixed points of $(\varphi, \psi)$-almost generalized weakly contractive maps with rational expressions in S-metric spaces. Also, we prove the existence and uniqueness of fixed points of $\alpha$-admissible almost weak $\psi$-contraction maps with rational expressions in $S$-metric spaces. Our results extend the results of Jaggi [16] , Dass and Gupta [10] to $S$-metric spaces. Also our results extend and generalize the results of Sedghi, Shobe and Aliouche [21]. Supporting examples are provided to our results.
Keywords:
S-metric space, fixed point, almost generalized weakly contractive maps, \(alpha\)-admissible mapsMathematics Subject Classification:
Mathematics- Pages: 593-601
- Date Published: 01-04-2020
- Vol. 8 No. 02 (2020): Malaya Journal of Matematik (MJM)
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