4 papers
math.GN2026
Soft Metric Spaces via Soft Elements: Topology Across Parameter-Cardinalities and Fixed-Point Theory
Subhasis Ray
A soft set determines the selection space $\SE(F)=\prod_{e\in E}F(e)$. This paper studies two natural structures on that space. For at most countable , the series metric…
math.GM2026
Distributional Point Values for Borel and Symmetric Borel Derivatives
Subhasis Ray
Borel and symmetric Borel derivatives are generalized derivatives defined through local averages of difference quotients. Distributional point values, in the sense of Åojasiewicz…
math.GM2026
Scale-valued sets: a minimal framework for generalized set models
S. Ray
Many generalized set models have the same basic form: they assign a value to each object, and the main difference lies in the kind of values that are allowed. This paper studies th…
math.GN2026
Pairwise Separation and Compactness in Soft Bitopological Spaces via Soft Elements
S. Ray, Subhasis Ray, Titu Barik
Let be a soft set, and let be the set of all maps such that , for every . If is a soft topology on $F…