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Difference sequence spaces in cone metric space

  • Tripathy, Binod Chandra [1] ; Das, Nanda Ram [2] ; Dey, Rinku [2]
    1. [1] Institute of Advanced Study in Science and Technology

      Institute of Advanced Study in Science and Technology

      India

    2. [2] Gauhati University

      Gauhati University

      India

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 33, Nº. 4, 2014, págs. 437-446
  • Idioma: inglés
  • DOI: 10.4067/S0716-09172014000400006
  • Enlaces
  • Resumen
    • In this article we introduce the notion of difference bounded, convergent and null sequences in cone metric space. We investigate their different algebraic and topological properties.

  • Referencias bibliográficas
    • Citas [1] T. Abdeljawad, Completion of cone metric spaces, Hacettepe Jour. Math. Stat., 39 (1), pp. 67-74, (2010).
    • [2] I. Beg, M. Abbas and T. Nazir, Generalized cone metric space, J. Nonlinear Sci. Appl., 3 (1), pp. 21-31, (2010)).
    • [3] G. A. Dhanorkar and J. N. Salunke, A Generalization on Fixed Point Theorem on Cone Metric Spaces with ω-Distance, Internat. Math. Forum,...
    • [4] H. Kizmaz, On certain sequence spaces, Canad. Math. Bull., 24, pp. 169-176, (1981).
    • [5] B. C. Tripathy, Y. Altin and M. Et, Generalized difference sequences spaces on seminormed spaces defined by Orlicz functions, Math. Slovaca,...
    • [6] B. C. Tripathy and A. Baruah, Lacunary statistically convergent and lacunary strongly convergent generalized difference sequences of fuzzy...
    • [7] B. C. Tripathy and A. Baruah, M.Et, M. Gungor, On almost statistical convergence of new type of generalized difference sequence of fuzzy...
    • [8] B. C. Tripathy and S. Borgogain, Some classes of difference sequence spaces of fuzzy real numbers defined by Orlicz function, Advances...
    • [9] B. C. Tripathy and P. Chandra, On some generalized difference paranormed sequence spaces associated with multiplier sequences defined...
    • [10] B. C. Tripathy and S. Debnath, On generalized difference sequence spaces of fuzzy numbers, Acta Scientiarum. Technology, 35 (1), pp....
    • [11] B. C. Tripathy and H. Dutta, On some new paranormed difference sequence spaces defined by Orlicz functions, Kyungpook Math J., 50 (1),...
    • [12] B. C. Tripathy and R. Goswami, On triple difference sequences of real numbers in probabilistic normed spaces, Proyecciones Jour. Math.,...

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