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Fixed Point in Fuzzy Metric Spaces

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Bio-Inspired Computing - Theories and Applications

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 472))

Abstract

In this paper, we propose a new definition of generalized fuzzy contractive mapping,which is a generalization of the fuzzy contractive mapping in the sense of Yonghong Shen. and prove some convergence theorems by different contractive conditions in fuzzy metric space. Our results improve and extend the corresponding results in [5,6,8].

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics and Information Sciences, Langfang Teacher’s College, Langfang, Hebei, 065000, China

    Yinying Zhou

Authors
  1. Yinying Zhou
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Editor information

Editors and Affiliations

  1. Huazhong University of Science and Technology, 430074, Wuhan, China

    Linqiang Pan

  2. Institute of Mathematics of the Romanian Academy, 014700, Bucuresti, Romania

    Gheorghe Păun

  3. Department of Computer Science and Artificial Intelligence, University of Sevilla, Avda. Reina Mercedes s/n., 41012, Sevilla, Spain

    Mario J. Pérez-Jiménez

  4. School of Automation, Huazhong University of Science and Technology, 430074, Wuhan, China

    Tao Song

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Zhou, Y. (2014). Fixed Point in Fuzzy Metric Spaces. In: Pan, L., Păun, G., Pérez-Jiménez, M.J., Song, T. (eds) Bio-Inspired Computing - Theories and Applications. Communications in Computer and Information Science, vol 472. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-45049-9_108

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  • DOI: https://doi.org/10.1007/978-3-662-45049-9_108

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-45048-2

  • Online ISBN: 978-3-662-45049-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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