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Symmetric Spaces Approach to Various Cyclic Contractions and Application to Probabilistic Spaces
Journal article   Open access  Peer reviewed

Symmetric Spaces Approach to Various Cyclic Contractions and Application to Probabilistic Spaces

Savita Rathee, Priyanka Gupta, Vishnu Narayan Mishra, Thabet Abdeljawad and Nabil Mlaiki
Symmetry (Basel), Vol.13(9), p.1704
01/09/2021
DOI: https://doi.org/10.3390/sym13091704

Abstract

Multidisciplinary Sciences Science & Technology Science & Technology - Other Topics
This paper aims to prove fixed point results for cyclic compatible contraction and Hardy-Rogers cyclic contraction in symmetric spaces. Our results generalize the results of Kumari and Panthi (2016) proved for cyclic compatible contraction and modified Hardy-Rogers cyclic contraction in the generating space of a b-quasi metric family and b-dislocated metric family. After that, as an application, we prove a fixed point result in symmetric pre-probabilistic metric spaces (PPM-spaces).
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https://doi.org/10.3390/sym13091704View
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