Continuous maps in terms of new convergence conditions

  • Authors

    • Asha Gupta PEC University of Technology, Chandigarh
    2014-07-22
    https://doi.org/10.14419/gjma.v2i3.2986

  • Abstract

    It is well known that if X is Frechet, then a map f : X -->Y is continuous if and only if xn --> x in X implies f(xn)--> f(x) in Y . In this paper, some new convergence conditions in terms of sequences have been introduced and in terms of these convergence conditions, generalisations and analogues of some known results of continuous maps are obtained.

    Keywords: Convergence, continuous, Frechet , Sequence.

  • References

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    6. G. L.Garg, A. Goel, Continuity of Maps in terms of cluster points,International Journal Of Pure and Applied Mathematics,2009. 51:431-435.

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  • How to Cite

    Gupta, A. (2014). Continuous maps in terms of new convergence conditions. Global Journal of Mathematical Analysis, 2(3), 152-155. https://doi.org/10.14419/gjma.v2i3.2986

    Received date: 2014-06-03

    Accepted date: 2014-07-12

    Published date: 2014-07-22