S. Ray

collaborators

5 papers

math.GM2026

Soft normed linear spaces via soft elements: decomposition, convergence, and operators

Subhasis Ray

Let $F : A \to P (X)$ be a soft linear subspace of a linear space $X$ over $K$ . Its soft elements form the product $\prod_{t \in A} F (t)$ . We use this representat…

math.GN2026

Soft Metric Spaces via Soft Elements: Topology Across Parameter-Cardinalities and Fixed-Point Theory

Subhasis Ray

A soft set $(F, E)$ 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 $E$ , 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 Łojasiewicz a…

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

Subhasis Ray, Titu Barik

Let $F : A \to P (X)$ be a soft set, and let $S E (F)$ be the set of all maps $a : A \to X$ such that $a (t) \in F (t)$ , for every $t \in A$ . If $τ$ is a soft topology on $F…