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More Properties of Semi-Linear Uniform Spaces

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DOI: 10.4236/am.2015.66097    2,487 Downloads   2,763 Views   Citations
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ABSTRACT

In this paper we shall generalize the definition given in [1] for Lipschitz condition and contractions for functions on a non-metrizable space, besides we shall give more properties of semi-linear uniform spaces.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Alhihi, S. (2015) More Properties of Semi-Linear Uniform Spaces. Applied Mathematics, 6, 1069-1075. doi: 10.4236/am.2015.66097.

References

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[4] Weil, A. (1938) Sur les espaces à structure uniforme et sur la topologic générale. Hermann, Paris.
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[9] James, I.M. (1987) Topological and Uniform Spaces. Undergraduate Texts in Mathematics. Springer-Verlag, Berlin.
[10] Tallafha, A. and Khalil, R. (2009) Best Approximation in Uniformity Type Spaces. European Journal of Pure and Applied Mathematics, 2, 231-238.
[11] Tallafha, A. (2011) Some Properties of Semi-Linear Uniform Spaces. Boletin da Sociedade Paranaense de Matematica, 29, 9-14.
[12] Tallafha, A. (2015) Fixed Point in a Non-Metrizable Spaces. To Appear.
[13] Engelking, R. (1968) Outline of General Topology. North-Holand, Amsterdam.

  
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