Convex contractions on extended $ b $-metric spaces

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-...

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Bibliographic Details
Published inAIMS mathematics Vol. 9; no. 7; pp. 18163 - 18185
Main Author Ricinschi, Dan
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2024
Subjects
convex contraction
extended $ b $-metric space
generalized contraction
generalized metric space
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ISSN2473-6988
2473-6988
DOI10.3934/math.2024887

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Summary: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2024887