Journal of Prime Research in Mathematics

# Some results of accretive operators and convex sets in 2-probabilistic normed space

P. K. Harikrishnan
Department of Mathematics, Manipal Institute of Technology, Manipal University, Manipal, Karnataka, India.
K. T. Ravindran
P. G. Department and Research Centre in Mathematics, Payyanur College, Payyanur, Kerala, India.

$$^{1}$$Corresponding Author: pkharikrishnans@gmail.com.

### Abstract

In this paper we introduce the concept of accretive operators, discuss some properties of resolvents of an accretive operator in 2- probabilistic normed spaces and focusing on the results of convex sets in 2-probabilistic normed spaces.

#### Keywords:

linear 2-normed spaces, probabilistic normed spaces, accretive operators.