Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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COMMON FIXED POINT THEOREMS IN G-FUZZY METRIC SPACES WITH APPLICATIONS

  • Tiwari, Rakesh (Department of Mathematics, Government V. Y. T. Post-Graduate Autonomous College) ;
  • Rajput, Shraddha (Department of Mathematics, Shri Shankaracharya Technical Campus)
  • Received : 2020.09.03
  • Accepted : 2021.04.11
  • Published : 2021.12.15
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Abstract

In this paper, we prove common fixed point theorems for six weakly compatible mappings in G-fuzzy metric spaces introduced by Sun and Yang [16] which is actually generalization of G-metric spaces. G-metric spaces coined by Mustafa and Sims [13]. The paper concerns our sustained efforts for the materialization of G-fuzzy metric spaces and their properties. We also exercise the concept of symmetric G-fuzzy metric space, 𝜙-function and weakly compatible mappings. The results present in this paper generalize the well-known comparable results in the literature. We justify our results by suitable examples. Some applications are also given in support of our results.

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References

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