Research article

Convex contractions on extended $ b $-metric spaces

  • Received: 08 February 2024 Revised: 02 April 2024 Accepted: 09 April 2024 Published: 29 May 2024
  • MSC : 47H09, 47H10, 54H25

  • This research investigated different types of convex contractions in the setting of extended $ b $-metric spaces from the point of view of the existence and uniqueness of their fixed points. The assumptions imposed on involved mappings refer to convexity of order $ 2 $, two-sided convexity or Ćirić-type convexity, which also fulfill a continuity type condition. An example was provided to emphasize the usability of the results.

    Citation: Dan Ricinschi. Convex contractions on extended $ b $-metric spaces[J]. AIMS Mathematics, 2024, 9(7): 18163-18185. doi: 10.3934/math.2024887

    Related Papers:

  • This research investigated different types of convex contractions in the setting of extended $ b $-metric spaces from the point of view of the existence and uniqueness of their fixed points. The assumptions imposed on involved mappings refer to convexity of order $ 2 $, two-sided convexity or Ćirić-type convexity, which also fulfill a continuity type condition. An example was provided to emphasize the usability of the results.



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