Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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FIXED POINT THEOREMS FOR (𝜉, 𝛽)-EXPANSIVE MAPPING IN 𝒢-METRIC SPACE USING CONTROL FUNCTION

  • Yadav, Jyoti (Department of Mathematics Lords University) ;
  • Kumar, Manoj (Department of Mathematics Baba Mastnath University) ;
  • Reena, Reena (Department of Mathematics Prarambh State Institute of Advanced Studies in Teacher Education) ;
  • Imdad, Mohammad (Department of Mathematics Aligarh Muslim University) ;
  • Arora, Sahil (Department of Mathematics K.R.M. D.A.V. College Nakodar)
  • Received : 2020.08.18
  • Accepted : 2021.04.10
  • Published : 2021.12.15
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Abstract

In this paper, some fixed point theorems for new type of (𝜉, 𝛽)-expansive mappings of type (S) and type (T) using control function and 𝛽-admissible function in 𝒢-metric spaces are proved. Further, we prove certain fixed point results by relaxing the continuity condition.

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References

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