A GENERALIZED CONTRACTION PRINCIPLE IN MENGER SPACES USING A CONTROL FUNCTION

In the present paper we use a control function to define a generalized contraction in Menger spaces and obtain a unique fixed point theorem. The work is in line with the research for developing probabilistic contractions with the help of control functions and related fixed point results. We have giv...

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Bibliographic Details
Published inAnalysis in theory & applications Vol. 26; no. 2; pp. 110 - 121
Main Authors Dutta, P. N., Choudhury, Binayak S.
Format Journal Article
LanguageEnglish
Published Heidelberg Editorial Board of Analysis in Theory and Applications 01.06.2010
Department of Mathematics Government College of Engineering and Ceramic Technology 73 A. C. Banerjee Lane, Kolkata-700010, West Bengal India%Department of Mathematics Bengal Engineering and Science University, Shibpur P. O. -B. Garden, Shibpur, Howrah-711103 West Bengal India
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ISSN1672-4070
1573-8175
DOI10.1007/s10496-010-0110-3

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Summary:In the present paper we use a control function to define a generalized contraction in Menger spaces and obtain a unique fixed point theorem. The work is in line with the research for developing probabilistic contractions with the help of control functions and related fixed point results. We have given an example to which our theorem is applicable. Some corollaries are also discussed.
Bibliography:32-1631/O1
O189.2
TU857
Menger space, fixed point, (φ, ψ1, ψ2)-contraction
ISSN:1672-4070
1573-8175
DOI:10.1007/s10496-010-0110-3