Approach to fuzzy differential equations in Intuitionistic fuzzy metric spaces using generalized contraction theorems

Document Type : Research Paper

Authors

1 IEHE, BHOPAL

2 MP Government

3 Research Scholar, Department of Mathematics Institute for Excellence in Higher Ed- ucation Bhopal, India

Abstract

Approach to fuzzy differential equations in fuzzy metrics using generalized contra ction theorems One of the most fascinating fields of mathematical inquiry is fixed point.In this direction, by utilizing ”the triangular property of fuzzy metric ”, we investigate certain special common fixed point solutions for a pair of self mappings without continuity on fuzzy metric spaces under the generalized contraction requirements. We also provide generalized Ciri’s c contraction theorems and weak contraction theorems. The findings are corroborated by pertinent cases. Additionally, we provide a workable application of the fuzzy differential equation s to guarantee the presence of a singular common solution to support our primar y research

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References

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Journal of Hyperstructures
Volume 13, Issue 1
2024
Pages 109-123

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