arXiv subjects

P. K. Harikrishnan

Publications and source records attributed to P. K. Harikrishnan.

2 recordsLinked to original sources

arXiv2017

Compactness and D-boundedness in Menger's 2-probabilistic normed spaces

The idea of convex sets and various related results in 2-Probabilistic normed spaces were established in [HR]. In this paper, We obtain the concepts of convex series closedness, convex series compactness, boundedness and their interrelationships in Menger's 2-probabilistic normed space. Finally, the idea of $ \mathcal{D}- $ Boundedness in Menger's 2-probabilistic normed spaces and Menger's Generalized 2-Probabilistic Normed spaces are discussed.

math.FA↗

arXiv2017

Some Properties of Accretive Operators in Linear 2-Normed Spaces

In this paper we discuss some properties of resolvents of an accretive operator in linear 2-normed spaces, focusing on the concept of contraction mapping and the unique fixed point of contraction mappings in linear 2- normed spaces. Also, we establish the existence of solution of strong accretive operator equation in linear 2-normed spaces.

math.FA↗