Classes of Linear Operators in Probabilistic Normed Space

Abstract

In this paper we will introduce the classes of linear operators in probabilistic normed space, as the set of all Certainly bounded L_c(V,V’), D-bounded L_D(V,V’), strongly B-bounded L_B(V,V’), and strongly ѱ – bounded L_ѱ(V,V’), we then prove they are linear space.

Keywords: Linear operators, Probabilistic Normed Space

Corresponding author: E-mail: Iqbal501@yahoo.com

How to Cite

Citation Format

Jebril, I. H. ., & Noorani, M. S. M. . (2018). Classes of Linear Operators in Probabilistic Normed Space. CURRENT APPLIED SCIENCE AND TECHNOLOGY, 190-199.

References

Alsina, C., Schweizer, B. and Sklar, A, 1997. Continuity properties of probabilistic norms, Journal of Mathematical Analysis and Applications, Vol. 208, pp: 446-452.
Alsina, C., Schweizer, B. and Sklar, A, 1993. On the definition of probabilistic normed space, Aequation Mathematicae, vol.46, pp: 91-98.
Jebril, I. and Ali, R, 2003. Bounded linear operators in probabilistic normed space, J. Inequal. Pure and Appl. Math., Vol. 4, Issue 1, Article 8.
Jebril, I. and Noorani, M. S. 2004, Contraction functions in probabilistic normed space, J. of Inst. Of Math. & Comp. Sci. (accepted)
Kreyszig, E, 1978. Introductory functional analysis with applications, John Wiley and Sons Inc. New York.

Author Information

Iqbal Hamzh Jebril

School of Mathematical Sciences, Universiti Kebangsaan Malaysia, Selangor, Malaysia

Mohd. Salmi MD. Noorani

School of Mathematical Sciences, Universiti Kebangsaan Malaysia, Selangor, Malaysia

About this Article

Journal

Vol. 5 No. 1 (2005)

Type of Manuscript

Original Research Article

Keywords

Linear operators, Probabilistic Normed Space

Published

12 November 2018

Classes of Linear Operators in Probabilistic Normed Space

Abstract

How to Cite

References

Author Information

Iqbal Hamzh Jebril

Mohd. Salmi MD. Noorani

About this Article

Journal

Type of Manuscript

Keywords

Published

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