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On Nonunique Fixed Point Theorems via Interpolative Chatterjea Type Suzuki Contraction in Quasi‐Partial b‐Metric Space

Author

Listed:
  • Pragati Gautam
  • Shiv Raj Singh
  • Santosh Kumar
  • Swapnil Verma

Abstract

In the present research paper, Chatterjea type contraction is defined and discussed in the framework of quasi‐partial b‐metric space. Further, some common fixed point results are proved using the notion of interpolation. The results are extended to fixed point theorems for modified Chatterjea type Suzuki contraction using w‐admissible maps. The results proved are new and unique supported by application which will enrich the existing literature.

Suggested Citation

  • Pragati Gautam & Shiv Raj Singh & Santosh Kumar & Swapnil Verma, 2022. "On Nonunique Fixed Point Theorems via Interpolative Chatterjea Type Suzuki Contraction in Quasi‐Partial b‐Metric Space," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:2347294
    DOI: 10.1155/2022/2347294
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    References listed on IDEAS

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    1. Erdal Karapinar & Ravi Agarwal & Hassen Aydi, 2018. "Interpolative Reich–Rus–Ćirić Type Contractions on Partial Metric Spaces," Mathematics, MDPI, vol. 6(11), pages 1-7, November.
    2. Ravi P. Agarwal & Erdal Karapınar & Donal O’Regan & Antonio Francisco Roldán-López-de-Hierro, 2015. "Fixed Point Theory in Metric Type Spaces," Springer Books, Springer, edition 1, number 978-3-319-24082-4, January.
    3. Vishnu Narayan Mishra & Luis Manuel Sánchez Ruiz & Pragati Gautam & Swapnil Verma, 2020. "Interpolative Reich–Rus–Ćirić and Hardy–Rogers Contraction on Quasi-Partial b-Metric Space and Related Fixed Point Results," Mathematics, MDPI, vol. 8(9), pages 1-11, September.
    4. Pragati Gautam & Luis Manuel Sánchez Ruiz & Swapnil Verma & Gauri Gupta & Huseyin Isik, 2021. "Common Fixed Point Results on Generalized Weak Compatible Mapping in Quasi-Partial b-Metric Space," Journal of Mathematics, Hindawi, vol. 2021, pages 1-10, June.
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