학술논문

Convex contractions on extended b-metric spaces
Document Type
article
Author
Source
AIMS Mathematics, Vol 9, Iss 7, Pp 18163-18185 (2024)
Subject
extended $ b $-metric space
generalized metric space
convex contraction
generalized contraction
Mathematics
QA1-939
Language
English
ISSN
2473-6988
Abstract
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.