Table of Contents Author Guidelines Submit a Manuscript
Abstract and Applied Analysis
Volume 2014, Article ID 745031, 7 pages
http://dx.doi.org/10.1155/2014/745031
Research Article

Convergence Axioms on Dislocated Symmetric Spaces

1Department of Mathematics, Acharya Nagarjuna University, Guntur 522004, India
2Department of Mathematics, Vijaya College of Engineering, India
3Department of Mathematics, K L University, India
4Department of Mathematics, Nepal Sanskrit University, Nepal

Received 22 July 2014; Accepted 18 August 2014; Published 14 October 2014

Academic Editor: Kyung Soo Kim

Copyright © 2014 I. Ramabhadra Sarma et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. C. F. Frechet, “Sur quelques points du calcul fonctionnel,” Rendiconti del Circolo Matematico di Palermo, vol. 22, no. 1, pp. 1–72, 1906. View at Publisher · View at Google Scholar
  2. E. W. Chittenden, “On the equivalence of ecart and voisinage,” Transactions of the American Mathematical Society, vol. 18, no. 2, pp. 161–166, 1917. View at Publisher · View at Google Scholar · View at MathSciNet
  3. C. A. H. Frink, “Distance functions and the metrication problem,” Bulletin of the American Mathematical Society, vol. 43, 1937. View at Google Scholar
  4. W. A. Wilson, “On semi-metric Spaces,” The American Journal of Mathematics, vol. 53, no. 2, pp. 361–373, 1931. View at Publisher · View at Google Scholar · View at MathSciNet
  5. V. W. Niemytzki, “On the “third axiom of metric space”,” Transactions of the American Mathematical Society, vol. 29, no. 3, pp. 507–513, 1927. View at Publisher · View at Google Scholar · View at MathSciNet
  6. I. D. Aranđelović and D. J. Kečkić, “Symmetric spaces approach to some fixed point results,” Nonlinear Analysis: Theory, Methods & Applications, vol. 75, no. 13, pp. 5157–5168, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  7. A. D. Pitcher and E. W. Chittenden, “On the foundations of the calcul fonctionnel of Fréchet,” Transactions of the American Mathematical Society, vol. 19, no. 1, pp. 66–78, 1918. View at Publisher · View at Google Scholar · View at MathSciNet
  8. S. Cho, G. Lee, and J. Bae, “On coincidence and fixed-point theorems in symmetric spaces,” Fixed Point Theory and Applications, vol. 2008, Article ID 562130, 9 pages, 2008. View at Publisher · View at Google Scholar · View at MathSciNet