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A fixed point result in Menger spaces using a real function

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Abstract

The main result of this paper is a fixed point theorem of self-mappings in Menger spaces which satisfy certain inequality. This inequality involves a class of real functions which we call Φ-functions. As a corollary we obtain a result in the corresponding metric spaces. The result is supported by an example. The class of real functions we have used is the conceptual extension of altering distance functions used in metric fixed point theory.

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Authors and Affiliations

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

    B. S. Choudhury & K. Das

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

    P. N. Dutta

Authors
  1. B. S. Choudhury
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  2. K. Das
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  3. P. N. Dutta
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Correspondence to B. S. Choudhury.

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Choudhury, B.S., Das, K. & Dutta, P.N. A fixed point result in Menger spaces using a real function. Acta Math Hung 122, 203–216 (2009). https://doi.org/10.1007/s10474-008-7242-3

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  • DOI: https://doi.org/10.1007/s10474-008-7242-3

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