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New Results of Fixed-Point Theorems in Complete Metric Spaces

Author

Listed:
  • Mustafa T. Yaseen
  • Ali Hasan Ali
  • Areej A. Al-moneef
  • Omer Bazighifan
  • Taher A. Nofal
  • F. Ghanim
  • Abdellatif Ben Makhlouf

Abstract

In this paper, fixed point theorems of multiple values of self-mappings have been investigated in Banach space. In addition, a new modification of the same mentioned study has been considered in a metric space with at most three valued self-mappings. Moreover, we have extended and improved some existent results in a complete metric space. Finally, we present a slight improvement on some well-known lemmas that are related to nonexpansive mappings and nonincreasing distances mappings.

Suggested Citation

  • Mustafa T. Yaseen & Ali Hasan Ali & Areej A. Al-moneef & Omer Bazighifan & Taher A. Nofal & F. Ghanim & Abdellatif Ben Makhlouf, 2022. "New Results of Fixed-Point Theorems in Complete Metric Spaces," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-5, August.
    • Handle: RePEc:hin:jnlmpe:2885927
    DOI: 10.1155/2022/2885927
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    Cited by:

    1. Sorin Mureşan & Loredana Florentina Iambor & Omar Bazighifan, 2022. "New Applications of Perov’s Fixed Point Theorem," Mathematics, MDPI, vol. 10(23), pages 1-9, December.
    2. Maha Noorwali & Mohammed Shehu Shagari, 2023. "On Two-Point Boundary Value Problems and Fractional Differential Equations via New Quasi-Contractions," Mathematics, MDPI, vol. 11(11), pages 1-19, May.

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