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Fixed point via implicit contraction mapping on quasi-partial b-metric space

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Abstract

The notion of non-linear contraction via implicit function was first introduced by Popa. Sub-sequentially, Aydi extended and proved fixed point results for \(\alpha \)-implicit contraction in quasi b-metric space. In this paper, we have obtained some new fixed point results for the implicit contraction in the setting of quasi-partial b-metric space. The results are validated with the application based on them.

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Funding

This study is self-funded.

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Authors and Affiliations

  1. Kamala Nehru College, University of Delhi, New Delhi, 110049, India

    Pragati Gautam & Swapnil Verma

Authors
  1. Pragati Gautam
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  2. Swapnil Verma
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Contributions

All authors contributed equally and significantly in this paper. All authors read and approved the final manuscript.

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Correspondence to Pragati Gautam.

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Both the authors declare that they have no conflicts of interest.

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This article does not contain any studies with human participants or animals performed by any of the authors.

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Communicated by Samy Ponnusamy.

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Gautam, P., Verma, S. Fixed point via implicit contraction mapping on quasi-partial b-metric space. J Anal 29, 1251–1263 (2021). https://doi.org/10.1007/s41478-021-00309-6

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