Fixed Point Theorem on Complete N - Metric Spaces

S.C. Ghosh; M. Srivastava

doi:https://doi.org/10.14445/22315373/IJMTT-V47P503

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 47 | Number 1 | Year 2017 | Article Id. IJMTT-V47P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V47P503

Fixed Point Theorem on Complete N - Metric Spaces

S.C. Ghosh; M. Srivastava

Abstract

In this paper we have proved the generalized fixed point theorem on complete N-Metric Space with the help of N-mappings. This theorem generalizes and extends the result of R.K. Jain, H.K. Sahu and B. Fisher [3], Kikina [2] and chaube, Gupta and Shau [1] from three, four, five metric space to N-Metric Spaces.

Keywords

Complete metric spaces, Cauchy sequences, fixed point. 2010 AMS subject classification 47 H10; 54H25.

References

1- A.K. Chaube, M. Das Gupta, D.P. Shau - A related fixed point theorem on Five - metric spaces. J. Int. Academy of Physical Sciences. Vol. 15 No. L (2011) PP. 69 - 84
2- L. Kikina and Kristaqkikina - A related fixed point theorem on four metric spaces. Int. J. of Math Analysis. 3(32) (2009) 1559-1568.
3- R.K. Jain, H.K. Sahu and B. Fisher - A related fixed point theorem on three metric spaces. Kyungpook Math. J. 36(1996) 151-154.
4- N.P. Nung - A fixed point theorem in three metric spaces. Math. Sem. Kobe Univ. 11 (1985) 77-79.
5- M. Srivastava, S.C. Ghosh - Properties and fixed point theorem in D-metric spaces. Acta Ciencia Indica, Vol. XXXIM No. 4, 1313-1324, 2005.

Citation :

S.C. Ghosh; M. Srivastava, "Fixed Point Theorem on Complete N - Metric Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 47, no. 1, pp. 14-27, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V47P503