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A generalized contraction principle in menger spaces using a control function

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Analysis in Theory and Applications

Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, Government College of Engineering and Ceramic Technology, 73 A. C. Banerjee Lane, Kolkata, 700010, West Bengal, India

    P. N. Dutta

  2. Department of Mathematics, Bengal Engineering and Science University, Shibpur, P. O. -B. Garden, Shibpur, Howrah, 711103, West Bengal, India

    Binayak S. Choudhury

Authors
  1. P. N. Dutta
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  2. Binayak S. Choudhury
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Correspondence to P. N. Dutta.

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Dutta, P.N., Choudhury, B.S. A generalized contraction principle in menger spaces using a control function. Anal. Theory Appl. 26, 110–121 (2010). https://doi.org/10.1007/s10496-010-0110-3

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  • DOI: https://doi.org/10.1007/s10496-010-0110-3

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