Korean J. Math. Vol. 28 No. 2 (2020) pp.391-403
DOI: https://doi.org/10.11568/kjm.2020.28.2.391

Almost $\zeta$- contraction on $M$- metric space

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Published: Jun 30, 2020
Keywords:
Almost ζ- contraction, M-metric space, almost contraction.
Mathematics Subject Classification:
Almost ζ- contraction, 47H10, 54H25

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M. Pitchaimani
Ramanujan Institute for Advanced Study in Mathematics University of Madras, Chennai-600 005 India
K. Saravanan
Ramanujan Institute for Advanced Study in Mathematics University of Madras, Chennai-600 005 India

Abstract

In this paper, we initiate the concept of almost $\zeta $- contractions via Simulation functions to find fixed points on $M$- metric spaces, and prove some related fixed points results for such mappings. Moreover an illustration is provided to show the applicability of our obtained results.



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References

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