Fixed point theorem for contraction mappings in probabilistic normed spaces

P. K. Harikrishnan; Bernardo Lafuerza–Guillén; Yeol Je Cho; K. T. Ravindran

Fixed point theorem for contraction mappings in probabilistic normed spaces

P. K. Harikrishnan, Bernardo Lafuerza–Guillén, Yeol Je Cho, K. T. Ravindran

Department of Mathematics, Manipal Institute of Technology, Manipal

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, the concept of contractive mappings and ϕ− contraction mappings on Menger’s probabilistic normed spaces are defined with suitable examples. The unique fixed point theorem for contractive mappings and ϕ− contraction mappings are established in Menger’s probabilistic normed spaces.

Original language	English
Pages (from-to)	818-827
Number of pages	10
Journal	Italian Journal of Pure and Applied Mathematics
Volume	43
Publication status	Published - 01-01-2020

All Science Journal Classification (ASJC) codes

Mathematics(all)

Cite this

@article{10231d31eebe4c599d34164ed56eb01b,

title = "Fixed point theorem for contraction mappings in probabilistic normed spaces",

abstract = "In this paper, the concept of contractive mappings and ϕ− contraction mappings on Menger{\textquoteright}s probabilistic normed spaces are defined with suitable examples. The unique fixed point theorem for contractive mappings and ϕ− contraction mappings are established in Menger{\textquoteright}s probabilistic normed spaces.",

author = "Harikrishnan, {P. K.} and Bernardo Lafuerza–Guill{\'e}n and Cho, {Yeol Je} and Ravindran, {K. T.}",

year = "2020",

month = jan,

day = "1",

language = "English",

volume = "43",

pages = "818--827",

journal = "Italian Journal of Pure and Applied Mathematics",

issn = "1126-8042",

publisher = "Forum Societa Editrice Universitaria Udinese srl",

}

TY - JOUR

T1 - Fixed point theorem for contraction mappings in probabilistic normed spaces

AU - Harikrishnan, P. K.

AU - Lafuerza–Guillén, Bernardo

AU - Cho, Yeol Je

AU - Ravindran, K. T.

PY - 2020/1/1

Y1 - 2020/1/1

N2 - In this paper, the concept of contractive mappings and ϕ− contraction mappings on Menger’s probabilistic normed spaces are defined with suitable examples. The unique fixed point theorem for contractive mappings and ϕ− contraction mappings are established in Menger’s probabilistic normed spaces.

AB - In this paper, the concept of contractive mappings and ϕ− contraction mappings on Menger’s probabilistic normed spaces are defined with suitable examples. The unique fixed point theorem for contractive mappings and ϕ− contraction mappings are established in Menger’s probabilistic normed spaces.

UR - http://www.scopus.com/inward/record.url?scp=85081646979&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85081646979&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85081646979

SN - 1126-8042

VL - 43

SP - 818

EP - 827

JO - Italian Journal of Pure and Applied Mathematics

JF - Italian Journal of Pure and Applied Mathematics

ER -

Fixed point theorem for contraction mappings in probabilistic normed spaces

Abstract

All Science Journal Classification (ASJC) codes

Other files and links

Fingerprint

Cite this