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New Generalized Mizoguchi-Takahashi’s Fixed Point Theorems for Essential Distances and e 0 -Metrics

Author

Listed:
  • Binghua Jiang

    (School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China)

  • Huaping Huang

    (School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou 404020, China)

  • Wei-Shih Du

    (Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, Taiwan)

Abstract

In this paper, we present some new generalizations of Mizoguchi-Takahashi’s fixed point theorem which also improve and extend Du-Hung’s fixed point theorem. Some new examples illustrating our results are also given. By applying our new results, some new fixed point theorems for essential distances and e 0 -metrics were established.

Suggested Citation

  • Binghua Jiang & Huaping Huang & Wei-Shih Du, 2019. "New Generalized Mizoguchi-Takahashi’s Fixed Point Theorems for Essential Distances and e 0 -Metrics," Mathematics, MDPI, vol. 7(12), pages 1-15, December.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:12:p:1224-:d:296706
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