Geodesic
Stronglyψ-Bounded and Classes of Linear Operators in Probabilistic Normed Space
Bulletin of the Malaysian Mathematical Society, Tome 28 (2005) no. 2 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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In this paper we redefined the definition of a bounded linear operator in probabilistic normed space by introducing the notion of strongly ψ-bounded linear maps. We then show that this new definition of boundedness implies all contraction functions in probabilistic normed space are bounded. Also, we 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 ψ-bounded L ψ ( V , V ') we then prove they are linear spaces.
Classification : 54E70. 
@article{BMMS_2005_28_2_a7,
     author = {Iqbal Hamzh Jebril and Mohd. Salmi Md. Noorani},
     title = {Strongly\ensuremath{\psi}-Bounded and {Classes} of {Linear} {Operators} {in
Probabilistic} {Normed} {Space}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2005},
     volume = {28},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2005_28_2_a7/}
}
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%A Mohd. Salmi Md. Noorani
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%J Bulletin of the Malaysian Mathematical Society
%D 2005
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%F BMMS_2005_28_2_a7
Iqbal Hamzh Jebril; Mohd. Salmi Md. Noorani. Stronglyψ-Bounded and Classes of Linear Operators in
Probabilistic Normed Space. Bulletin of the Malaysian Mathematical Society, Tome 28 (2005) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2005_28_2_a7/