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Generalized Distances and Fixed Point Theorems in Fuzzy Metric Spaces

In: Fuzzy Operator Theory in Mathematical Analysis

Author

Listed:
  • Yeol Je Cho

    (Gyeongsang National University, Department of Mathematical Education
    University of Electronic Science and Technology of China, School of Mathematical Science)

  • Themistocles M. Rassias

    (National Technical University of Athens, Department of Mathematics)

  • Reza Saadati

    (Iran University of Science and Technology, Department of Mathematics)

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.

Suggested Citation

  • Yeol Je Cho & Themistocles M. Rassias & Reza Saadati, 2018. "Generalized Distances and Fixed Point Theorems in Fuzzy Metric Spaces," Springer Books, in: Fuzzy Operator Theory in Mathematical Analysis, chapter 0, pages 155-176, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-93501-0_6
    DOI: 10.1007/978-3-319-93501-0_6
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