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On New Type of F-Contractive Mapping for Quasipartial b-Metric Spaces and Some Results of Fixed-Point Theorem and Application

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  • A. M. Zidan
  • Asma Al Rwaily
  • Heng Liu

Abstract

In this paper, we introduce the concept of new type of F-contractive type for quasipartial b-metric spaces and some definitions and lemmas. Also, we will prove a new fixed-point theorem in quasipartial b-metric spaces for F-contractive type mappings. In addition, we give an application which illustrates a situation when Banach’s fixed-point theorem for complete quasipartial b-metric spaces cannot be applied, while the conditions of our theorem are satisfying.

Suggested Citation

  • A. M. Zidan & Asma Al Rwaily & Heng Liu, 2020. "On New Type of F-Contractive Mapping for Quasipartial b-Metric Spaces and Some Results of Fixed-Point Theorem and Application," Journal of Mathematics, Hindawi, vol. 2020, pages 1-8, December.
    • Handle: RePEc:hin:jjmath:8825805
    DOI: 10.1155/2020/8825805
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