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A fixed point result of weakly contractive operators in generalized metric spaces

  • Received: 03 July 2022 Revised: 21 July 2022 Accepted: 24 July 2022 Published: 01 August 2022
  • MSC : 47H10, 54H25, 47H04

  • In this note, by using basic properties of the recently introduced concepts of generalized metric spaces, new conditions for the existence of a fixed point for weakly type contractive operator which sends a closed subset into the ambient space under consideration are examined. Our obtained result extends and unifies its corresponding ideas in metric and modular spaces. A comparative non-trivial example is provided to show the novelty and preeminence of our proposed notion.

    Citation: Mohammed Shehu Shagari, Faryad Ali, Trad Alotaibi, Shazia Kanwal, Akbar Azam. A fixed point result of weakly contractive operators in generalized metric spaces[J]. AIMS Mathematics, 2022, 7(9): 17603-17611. doi: 10.3934/math.2022969

    Related Papers:

  • In this note, by using basic properties of the recently introduced concepts of generalized metric spaces, new conditions for the existence of a fixed point for weakly type contractive operator which sends a closed subset into the ambient space under consideration are examined. Our obtained result extends and unifies its corresponding ideas in metric and modular spaces. A comparative non-trivial example is provided to show the novelty and preeminence of our proposed notion.



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