Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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COMMON FIXED POINT THEOREMS UNDER GENERALIZED (ψ - ϕ)-WEAK CONTRACTIONS IN S-METRIC SPACES WITH APPLICATIONS

  • Saluja, G.S. (Department of Mathematics, Govt. Kaktiya P. G. College Jagdalpur) ;
  • Kim, J.K. (Department of Mathematics Education, Kyungnam University) ;
  • Lim, W.H. (Department of Mathematics Education, Kyungnam University)
  • Received : 2020.06.10
  • Accepted : 2020.09.13
  • Published : 2021.03.15
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Abstract

The aim of this paper is to establish common fixed point theorems under generalized (ψ - ϕ)-weak contractions in the setting of complete S-metric spaces and we support our result by some examples. Also an application of our results, we obtain some fixed point theorems of integral type. Our results extend Theorem 2.1 and 2.2 of Doric [5], Theorem 2.1 of Dutta and Choudhury [6], and many other several results from the existing literature.

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References

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