11 citations · 18 across the 6 of their papers we have counts for
6 papers
A new contraction principle on the perimeters of triangles and related results
Tanusri Senapati
In this article, we introduce a new type of mapping contracting perimeters of triangles in a complete metric space and present related fixed point theorem. We study the metric comp…
Orthogonality of bilinear forms and application to matrices
Saikat Roy, Tanusri Senapati, Debmalya Sain
We characterize Birkhoff-James orthogonality of continuous vector-valued functions on a compact topological space. As an application of our investigation, Birkhoff-James orthogonal…
Weak orthogonal metric spaces and fixed point results
Tanusri Senapati
In this article we extend the notion of orthogonal metric space to weak orthogonal metric space. Then we establish fixed point results for a mapping satisfying a more general contr…
A study on Kannan type contractive mappings
Hiranmoy Garai, Tanusri Senapati, Lakshmi Kanta Dey
In this article, we consider Kannan type contractive self-map on a metric space such that \[d(Tx,Ty)<\frac{1}{2}\{d(x,Tx)+d(y,Ty)\} \mbox{ for all } x \neq y \in X, \]…
Relation-theoretic metrical fixed point results via w-distance with an application in nonlinear fractional differential equations
Tanusri Senapati, Lakshmi Kanta Dey
In this article, utilizing the concept of w-distance, we prove the celebrated Banach's fixed point theorem in metric spaces equipped with an arbitrary binary relation. Necessarily…
A new approach of couple fixed point results on JS-metric spaces
Tanusri Senapati, Lakshmi Kanta Dey
In this article, we study coupled fixed point theorems in newly appeared JS-metric spaces. It is important to note that the class of JS-metric spaces includes standard metric space…