Fixed Point Results for Cirić and Almost Contractions in Convex b-Metric Spaces

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Rathee S., Kadyan A., Kumar A., TAŞ K.

Mathematics, vol.10, no.3, 2022 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 3
  • Publication Date: 2022
  • Doi Number: 10.3390/math10030466
  • Journal Name: Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Keywords: Almost contraction, B-metric spaces, Convex metric spaces
  • Open Archive Collection: AVESIS Open Access Collection
  • Uşak University Affiliated: Yes

Abstract

We establish a fixed point theorem for Cirić contraction in the context of convex b-metric spaces. Furthermore, we ensure that there is a fixed point for the maps satisfying the condition (B) (a kind of almost contraction) in convex b-metric spaces and demonstrate its uniqueness as well. Supporting examples to substantiate the generality of the proved results are given.