Cone \(S\)-metric spaces and some new fixed point results for contractive mapping satisfying \(\phi\)-maps with implicit relation
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DOI:
https://doi.org/10.26637/mjm1004/006Abstract
In this article, we use implicit relations to establish some new fixed point results in the setting of cone \(S\)-Metric spaces for \(\phi\)-map type contractive conditions. An example is provided to support our results. Our results extend, unify, and generalize several results from the current literature. In particular, the results presented in this paper improve and generalize the corresponding results of Sedghi and Dung[8], which used the ideas of Saluja, G. S. [19].
Keywords:
Cone metric spce, Fixed point, Unique fixed point, Implicit relation, Cone \(S\)- mtric spaceMathematics Subject Classification:
47H10, 54H25- Pages: 354-363
- Date Published: 01-10-2022
- Vol. 10 No. 04 (2022): Malaya Journal of Matematik (MJM)
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Copyright (c) 2023 Surendra Kumar Tiwari, MRIDUSMITA Gauratra, Vishnu Narayan Mishra
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