Table of Content
b-metric space
Open AccessArticleCommon fixed point result for generalized α*- ψ-contraction for C-class functions in b-metric spaces
Said Beloul, Taieb Hamaizia*
Annals of Communications in Mathematics 2021
4 (2)
155-163
DOI: https://doi.org/10.62072/acm.2021.040208
AbstractIn this paper, we prove common fixed point theorems for α∗-ψ-contraction in b-metric spaces, which generalizes the result of S. Aleksic et al [Remarks on common fixed point results for generalized α∗-ψ-contraction multivalued mappings in b-metric spaces ,Adv. Fixed Point Theory, 9 (2019), No. 1, 1-16] using the concept of C class function in b-in metric spaces. An example is given to support our results.
Open AccessArticleSome New Coincidence Point Results in B-Metric Spaces using a Simulation Function
Abderrahmane Boudraa, Taieb Hamaizia*
Annals of Communications in Mathematics 2025
8 (3)
343-349
DOI: https://doi.org/10.62072/acm.2025.080301
ABSTRACT. In this paper, we prove a coincidence point theorem in the context of b-metric spaces. The result is achieved by extending the known conditions of existence and uniqueness through the use of simulation functions. An example is also provided to support the obtained result.