collaborators

8 papers

math.OC2023

On some properties of set-valued tensor complementarity problem

R. Deb, A. K. Das

In this paper, we introduce set-valued tensor complementarity problem where the elements of the involved tensors are defined based on a set-valued mapping. We study several propert…

math.OC2023

On the solution set of semi-infinite tensor complementarity problem

R. Deb, A. K. Das

In this paper, we introduce semi-infinite tensor complementarity problem to provide an approach for considering a more realistic situation of the problem. We prove the necessary an…

math.OC2022

Complementarity Problem With Nekrasov tensor

R. Deb, A. K. Das

It is worth knowing that a particular tensor class belongs to -tensor which ensures the compactness to solve tensor complementarity problem (TCP). In this study, we propose a ne…

math.OC2022

Computation of a new error bound for tensor complementarity problem with P tensor

R. Deb, A. Dutta, A. K. Das

We propose a new error bound for the solution of tensor complementarity problem TCP given that is a -tensor and is a real vector. We show tha…

math.OC2022

Necessary and sufficient conditions for a subclass of -tensor

R. Deb, A. K. Das

In this article, we introduce the class -Nekrasov tensor in the context of tensor complementarity problem. We study some tensor theoretic properties. We show that the class of B…

math.OC2022

More on semipositive tensor and tensor complementarity problem

R. Deb, A. K. Das

In recent years several classes of structured matrices are extended to classes of tensors in the context of tensor complementarity problem. The tensor complementarity problem is a…

math.OC2022

Column competent tensors and tensor complementarity problem

A. Dutta, R. Deb, A. K. Das

In multilinear algebra, some special classes of matrices are extended to higher order structured tensors. The local -uniqueness solution to the linear complementarity problem ca…

math.OC2022

On some properties of -uniqueness in tensor complementarity problem

A. Dutta, R. Deb, A. K. Das

In this article we introduce column adequate tensor in the context of tensor complementarity problem and consider some important properties. The tensor complementarity problem is a…