International Journal For Multidisciplinary Research

E-ISSN: 2582-2160   •   Impact Factor: 9.24

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Study of Fixed Point and Periodic Point Theorems in Symmetric Spaces

Author(s) Arvind Bhatt, Radha
Country India
Abstract The objective of this manuscript to introduce a more relaxed form of continuity that serves as a necessary and sufficient condition for the existence of fixed points andthe mappings not only allow for fixed points but also admit periodic points, leading to fascinating combinations of fixed and periodic points in the setting of symmetric space.Our result is a generalization ofthe result of R.P.Pant et al[“Fixed point and periodic point theorems”, Acta ScientiarumMathematicarum, University of Szeged 2024.]
Keywords Continuous mappings, Fixed points, Periodic points,Contractive mappings, Symmetric space, Asymptotic continuity.
Field Mathematics
Published In Volume 6, Issue 1, January-February 2024
Published On 2024-02-28
DOI https://doi.org/10.36948/ijfmr.2024.v06i01.24010
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E-ISSN 2582-2160
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