Journal of Prime Research in Mathematics
Vol. 1 (2012), Issue 1, pp. 76 – 84
ISSN: 1817-3462 (Online) 1818-5495 (Print)
ISSN: 1817-3462 (Online) 1818-5495 (Print)
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.
Copyright © 2012 P. K. Harikrishnan, K. T. Ravindran. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Published: December, 2012.
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.