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Fixed Point of Almost Contraction in b-Metric Spaces

Author

Listed:
  • Maryam Iqbal
  • Afshan Batool
  • Ozgur Ege
  • Manuel de la Sen
  • kit C. Chan

Abstract

In this paper, we introduce a generalized multivalued (α, L)-almost contraction in the b-metric space. Furthermore, we prove the existence and uniqueness of the fixed point for a specific mapping. The result presented in this paper extends some of the earlier results in the existing literature. Moreover, some examples are given to illuminate the usability of the obtained results.

Suggested Citation

  • Maryam Iqbal & Afshan Batool & Ozgur Ege & Manuel de la Sen & kit C. Chan, 2020. "Fixed Point of Almost Contraction in b-Metric Spaces," Journal of Mathematics, Hindawi, vol. 2020, pages 1-6, October.
    • Handle: RePEc:hin:jjmath:3218134
    DOI: 10.1155/2020/3218134
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    Cited by:

    1. Bessem Samet, 2021. "On the Admissibility of the Fixed Points Set of a Mapping with Respect to Another Mapping," Mathematics, MDPI, vol. 9(16), pages 1-12, August.

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