On the Cauchy Property in Metric Spaces

Rawal, G.T.; Okelo, N.B.

doi:10.18052/www.scipress.com/ATMath.1.33

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On the Cauchy Property in Metric Spaces

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Abstract:

In this note the concept of p-quasi-cone metric space is discussed. New results onpoints which are fixed in the metric space are given.

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Periodical:

Advanced Trends in Mathematics (Volume 1)

Pages:

33-40

DOI:

https://doi.org/10.18052/www.scipress.com/ATMath.1.33

Citation:

G.T. Rawal and N.B. Okelo, "On the Cauchy Property in Metric Spaces", Advanced Trends in Mathematics, Vol. 1, pp. 33-40, 2014

Online since:

December 2014

Authors:

G.T. Rawal, N.B. Okelo

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Creative Commons Attribution 4.0 International License

References:

P. Raja and S. M. Vaezpour, Hindawi Publishing Corporation, Fixed Point Theory and Applications, Volume 2008, Article ID 768294, 11 pages.

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L. -G. Haung, X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings,. Math. Anal. Appl. 332 (2007) 1468-1476.

F. Shaddad and M. S. M. Noorani, Fixed Point Results in Quasi-Cone Metric Spaces, Hindawi Publishing Corporation, Abstract and Applied Analysis, Volume 2013, Article ID 303626, 7 pages.

Sh. Rezapour and R. Hamlbarani, Some notes on the Cone metric spaces and fixed point theorems of contractivemappings, Journal of Mathematical Analysis and Applications, vol. 345, no. 2, pp.719-724, (2008).

T. Abdeljawad, E. Karapinar, Quasicone metric spaces and generalitions ofCaristi Kirks theorem. Fixed Point Theory Appl., (2009), 9 pages.

A. Sonmez, Fixed point theorems in partial cone metric spaces, http: /arxiv. org/abs/1101. 2741.

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