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A new contraction principle in menger spaces

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Abstract

In the present work we introduce a new type of contraction mapping by using a specific function and obtain certain fixed point results in Menger spaces. The work is in line with the research for generalizing the Banach’s contraction principle. We extend the notion of altering distance function to Menger Spaces and obtain fixed point results.

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Authors and Affiliations

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

    Binayak S. Choudhury & Krishnapada Das

Authors
  1. Binayak S. Choudhury
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  2. Krishnapada Das
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Corresponding author

Correspondence to Binayak S. Choudhury.

Additional information

The present work is partially supported by Government of India under UGC Major Research Project No. F.8-12/2003 (SR) dated 30.03.2003

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Choudhury, B.S., Das, K. A new contraction principle in menger spaces. Acta. Math. Sin.-English Ser. 24, 1379–1386 (2008). https://doi.org/10.1007/s10114-007-6509-x

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  • DOI: https://doi.org/10.1007/s10114-007-6509-x

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