@article{Ješić2023, 
author = {Siniša N. Ješić and Nataša A. Ćirović and Rale M. Nikolić and Branislav M. Ranƌelović},
title = {A fixed point theorem in strictly convex    b-fuzzy metric spaces},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {9},
pages = {20989-21000},
keywords = {b-fuzzy metric spaces, fixed point, convex structure, strictly convex structure, normal structure},
url = {https://www.sciopen.com/article/10.3934/math.20231068},
doi = {10.3934/math.20231068},
abstract = {The main motivation for this paper is to investigate the fixed point property for non-expansive mappings defined on    b-fuzzy metric spaces. First, following the idea of S. Ješić's result from 2009, we introduce convex, strictly convex and normal structures for sets in    b-fuzzy metric spaces. By using topological methods and these notions, we prove the existence of fixed points for self-mappings defined on    b-fuzzy metric spaces satisfying a nonlinear type condition. This result generalizes and improves many previously known results, such as W. Takahashi's result on metric spaces from 1970. A representative example illustrating the main result is provided.}
}