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Suzuki-type fixed point results in fuzzy metric spaces

S. Sedghi1, N. Shobkolaei2, K.P.R.Rao3 and J.Rajendra Prasad4
  1. Professor, Dept. of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr
  2. Professor, Nabiollah Shobkolaei, Department of Mathematics, Babol Branch, Islamic Azad University, Babol
  3. Professor, Dept. of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar-522 510, A.P., India
  4. Professor, J.Rajendra Prasad, Department of Information Technology, P.V.P. Siddhartha Institute of Technology, Kanur,Vijayawada-7, A.P, India
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Abstract

In this paper by using of Suzuki contraction , we prove a fixed point theorem in the set up of fuzzy metric spaces.We also show that, in some specific cases, the results reduce to Suzuki contraction in fuzzy metric spaces. Finally, one example is presented to verify the effectiveness and applicability of our main results.

Keywords

fuzzy metric space, Suzuki contraction.

I. INTRODUCTION AND PRELIMINARIES

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References