Continuous maps in terms of new convergence conditions

  • Authors

    • Asha Gupta PEC University of Technology, Chandigarh

    Received date: June 3, 2014

    Accepted date: July 12, 2014

    Published date: July 22, 2014

    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

    1. A. Wilansky, Topology for analysis Xerox College Publishing Lexington,Massachusetts, Toronto,1970.
    2. R. V. Fuller, Relations among continuous and various non continuous functions, Pacific J. Math. 1968. 25: 495-509.
    3. N. Liden, K-Spaces,their anti spaces and related mappings, Pacific J.Math. 1975. 50: 505-514.
    4. G. L. Garg, A. Goel, Convergence and perfect maps in metric spaces,Indian Journal of Pure and Applied Mathematics, 1996. 27(7):633-637.
    5. G. L.Garg, A. Goel, Some conditions implying continuity of Maps, Acta Math. Hungarica, 1998. 81(3): 271-274.
    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.

  • Downloads

  • 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: June 3, 2014

    Accepted date: July 12, 2014

    Published date: July 22, 2014