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Operator Theory and Fixed Points in Fuzzy Normed Algebras and Applications

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Abstract

In this chapter, first, we consider the concept of fuzzy Banach algebras and fuzzy compact operators in fuzzy normed spaces. Then we apply some fixed point theorems to solve the operator equation AxBx = x in fuzzy Banach algebras under some nonlinear contraction.

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References

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Author information

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). Operator Theory and Fixed Points in Fuzzy Normed Algebras and Applications. In: Fuzzy Operator Theory in Mathematical Analysis. Springer, Cham. https://doi.org/10.1007/978-3-319-93501-0_11

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