Mathematica Moravica, Vol. 30, No. 1 (2026)

Nihal TaşORCID record, Ayşenur ŞenORCID record
An introduction to the fixed-circle problem with metric-preserving functions
Mathematica Moravica, Vol. 30, No. 1 (2026), 1–17.
Download PDF file: (766kB) | Abstract and keywords
Abstract. There are many studies in the literature about both the concept of a metric-preserving function and the fixed-circle problem. In this paper, we obtain new fixed-circle theorems by using these two concepts together. We support the theoretical results we obtained with necessary examples. The importance of this study is that it contains the first fixed-circle theorems obtained using the metric-preserving function concept.
Keywords. Metric space, Metric-preserving function, Fixed circle.

Zouhir Idriss BoukerORCID record, Taieb HamaiziaORCID record, Deep ChandORCID record
Fixed point theorems for paired contractions in $b$-metric spaces
Mathematica Moravica, Vol. 30, No. 1 (2026), 19–30.
Download PDF file: (510kB) | Abstract and keywords
Abstract. In this research, we establish new fixed-point theorems for mappings that satisfy the paired contraction property in $b$-metric spaces. Our results extend and generalize several well-known fixed-point theorems in the literature.
Keywords. $b$-metric spaces, Fixed point, Paired contraction.