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Generalized Distances and Fixed Point Theorems in Fuzzy Metric Spaces

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Fuzzy Operator Theory in Mathematical Analysis

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Abstract

In this chapter, we study the generalized distance in fuzzy metric spaces and prove some fixed point theorems for some contractive mappings in fuzzy metric spaces by using the generalized distances.

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References

  1. J.X. Fang, On fixed point theorems in fuzzy metric spaces. Fuzzy Sets Syst. 46, 107–113 (1992)

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  2. O. Kada, T. Suzuki, W. Takahashi, Nonconvex minimization theorems and fixed point theorems in complete metric spaces Math. Jpn. 44, 381–391 (1996)

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Authors and Affiliations

  1. Department of Mathematical Education, Gyeongsang National University, Jinju, Korea (Republic of)

    Yeol Je Cho

  2. School of Mathematical Science, University of Electronic Science and Technology of China, Chengdu, Sichuan, China

    Yeol Je Cho

  3. Department of Mathematics, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

  4. Department of Mathematics, Iran University of Science and Technology, Tehran, Iran

    Reza Saadati

Authors
  1. Yeol Je Cho
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  2. Themistocles M. Rassias
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  3. Reza Saadati
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Cho, Y.J., Rassias, T.M., Saadati, R. (2018). Generalized Distances and Fixed Point Theorems in Fuzzy Metric Spaces. In: Fuzzy Operator Theory in Mathematical Analysis. Springer, Cham. https://doi.org/10.1007/978-3-319-93501-0_6

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