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Fixed point theorem for contraction mappings in probabilistic normed spaces

Authors
Harikrishnan, P. K.Lafuerza-Guillen, BernardoCho, Yeol JeRavindran, K. T.
Issue Date
Feb-2020
Publisher
Forum Societa Editrice Universitaria Udinese srl
Keywords
Menger's Probabilistic normed spaces; sequential continuity; fixed point; probabilistic bounded
Citation
Italian Journal of Pure and Applied Mathematics, no.43, pp 818 - 827
Pages
10
Indexed
SCOPUS
ESCI
Journal Title
Italian Journal of Pure and Applied Mathematics
Number
43
Start Page
818
End Page
827
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/72073
ISSN
1126-8042
Abstract
In this paper, the concept of contractive mappings and phi- contraction mappings on Menger's probabilistic normed spaces are defined with suitable examples. The unique fixed point theorem for contractive mappings and phi- contraction mappings are established in Menger's probabilistic normed spaces.
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