activity
20102025
most citedCone Normed Linear Spaces

3 citations · 10 across the 9 of their papers we have counts for

collaborators

10 papers

math.FA2025

Fixed Point Theorems for TSR-Contraction Mapping in Probabilistic Metric Spaces

Sanjay Roy, T. K. Samanta

The concept of fixed point plays a crucial role in various fields of applied mathematics. The aim of this paper is to establish the existence of a unique fixed point of some type o…

math.FA2025

Common Fixed Point Theorem for Six Functions on Menger Probabilistic Generalized Metric Space

Sanjay Roy

The main aim of this paper is to find a unique common fixed point for six functions in a Menger probabilistic generalized metric space. For this purpose, we have defined the compat…

math.GN2023

A Few Properties of -Continuity and -Closure on Delta Weak Topological Spaces

Sanjay Roy

The main aim of this paper is to define a weakest topology on a linear topological space such that each -continuous functional on is -continuous functio…

math.GM2023

Characterization of Various Types of Fuzzy Delta Compactness Using Fuzzy Upper Limit of Fuzzy Delta Closed Sets

Sanjay Roy, Srabani Mondal, T. K. Samanta

In this paper, we introduce the concept of various types fuzzy delta compactness such as Quasi fuzzy delta compact, Quasi fuzzy countably delta compact, Weakly fuzzy delta co…

math.GN2023

A study on delta compact spaces

Sanjay Roy, Srabani Mondal, Shrobana Sinha Roy +1

The aim of this paper is to introduce the concept of Delta-Compact spaces along with some basic properties of it. Here, we try to establish the behavior of Delta-Compact spaces und…

math.FA2021

Uniform Boundedness Principle and Hahn-Banach Theorem for b-linear functional related to linear 2-normed space

Prasenjit Ghosh, Sanjay Roy, T. K. Samanta

In this paper, we will see that the Cartesian product of two 2-Banach spaces is also 2-Banach space and discuss some properties of closed linear operator in linear 2-normed space.…

math.GM2010★ 1 cited

A Note on Intuitionistic Fuzzy Hypervector Spaces

Sanjay Roy, T. K. Samanta

The notion of Intuitionistic fuzzy hypervector space has been generalized and a few basic properties on this concept are studied. It has been shown that the intersection and union…

math.GM2010★ 3 cited

Cone Normed Linear Spaces

T. K. Samanta, Sanjay Roy, Bivas Dinda

In this paper, we introduce cone normed linear space, study the cone convergence with respect to cone norm. Finally, we prove the completeness of a finite dimensional cone normed l…

math.GM2010★ 3 cited

Innerproduct Hyperspaces

Sanjay Roy, T. K. Samanta

The main purpose of this paper is to generalize and develop a few basic properties of the innerproduct space on a hypervector space. On this hypervector space we define the norm. A…

math.GM2010★ 3 cited

A Note on Hypervector Spaces

Sanjay Roy, T. K. Samanta

The main aim of this paper is to generalize the concept of vector space by the hyperstructure. We generalize some definitions such as hypersubspaces, linear combination, Hamel basi…