Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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GERAGHTY TYPE CONTRACTIONS IN b-METRIC-LIKE SPACES

  • Surjeet Singh, Chauhan(Gonder) (Department of Mathematics, Chandigarh University) ;
  • Kanika, Rana (Department of Mathematics, Chandigarh University) ;
  • Mohammad, Asim (Department of Mathematics, Faculty of Science, SGT University) ;
  • Mohammad, Imdad (Department of Mathematics, Aligarh Muslim University)
  • Received : 2022.08.22
  • Accepted : 2022.11.22
  • Published : 2022.12.30
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Abstract

The main intent of this paper is to prove an existence and uniqueness fixed point result under Geraghty contractions in b-metric-like spaces, which remains an extended version of corresponding results in b-metric spaces and metriclike spaces. Using two types of Geraghty contractions, an approach is adopted to verify some fixed point results in b-metric-like spaces. Our main result is an extension of an earlier result given by Geraghty in b-metric-like-space. An example is also provided to demonstrate the validity of our main result. Moreover, as an application of our main result, the existence of solution of a Fredholm integral equation is established which may further be utilized to study the seismic response of dams during earthquakes.

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References

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