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Topologies and Fixed Points in Fuzzy Metric-Type Spaces

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Fuzzy Operator Theory in Mathematical Analysis

Abstract

In this chapter, first, we introduce some extensions of metric spaces. Next, we introduce the concept of fuzzy metric-type spaces and consider the topology induced by the fuzzy metric type. Finally, we consider some fixed point theorems for some nonlinear mapping satisfying some conditions in complete fuzzy metric-type spaces.

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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). Topologies and Fixed Points in Fuzzy Metric-Type Spaces. In: Fuzzy Operator Theory in Mathematical Analysis. Springer, Cham. https://doi.org/10.1007/978-3-319-93501-0_10

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