Presents new theorems on fixed-point and proximity points in soft multiplicative metric spaces, suggesting novel mathematical properties.
In this paper soft multiplicative metric spaces are redefined using Hosseinzadeh soft metric perspective. Then, some topological properties are given using this soft multiplicative metric spaces. Also, some Caristi-type cyclic best proximity point theorems and some Caristi-type cyclic fixed-point theorems are expressed and proved using soft multiplicative metric spaces. In addition, examples are presented to the readers to make the proven theorems more clear and understandable.
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Öztunç et al. (2026) studied this question.
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