The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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APPLICATION OF NEW CONTRACTIVE CONDITION IN INTEGRAL EQUATION

  • Amrish Handa (Department of Mathematics, Govt. P. G. Arts and Science College) ;
  • Dinesh Verma (Govt. Madhav Science College Ujjain (M.P.))
  • Received : 2023.08.29
  • Accepted : 2023.10.25
  • Published : 2024.02.28
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Abstract

In this paper, first we establish a unique common fixed point theorem satisfying new contractive condition on partially ordered non-Archimedean fuzzy metric spaces and give an example to support our result. By using the result established in the first section of the manuscript, we formulate a unique common coupled fixed point theorem and also give an example to validate our result. In the end, we study the existence of solution of integral equation to verify our hypothesis. These results generalize, improve and fuzzify several well-known results in the existing literature.

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References

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