About this Journal Submit a Manuscript Table of Contents
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 483059, 5 pages
http://dx.doi.org/10.1155/2013/483059
Research Article

Common Fixed Point Theorems for Nonlinear Contractive Mappings in Dislocated Metric Spaces

Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China

Received 7 January 2013; Accepted 1 February 2013

Academic Editor: Ru Dong Chen

Copyright © 2013 Yijie Ren 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. B. K. Dass and S. Gupta, “An extension of Banach contraction principle through rational expression,” Indian Journal of Pure and Applied Mathematics, vol. 6, no. 12, pp. 1455–1458, 1975. View at Zentralblatt MATH · View at MathSciNet
  2. B. E. Rhoades, “A comparison of various definitions of contractive mappings,” Transactions of the American Mathematical Society, vol. 226, pp. 257–290, 1977. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  3. S. G. Matthews, Metric domains for completeness. Technical Report 76 [Ph.D. thesis], Department of Computer Science, University of Warwick, Coventry, UK, 1986.
  4. P. Hitzler, Generalized metrices and topology in logic programming semantics [Ph.D. thesis], University College Cork, National University of Ireland, 2001.
  5. P. Hitzler and A. K. Seda, “Dislocated topologies,” Journal of Electrical Engineering, vol. 51, no. 12, pp. 3–7, 2000.
  6. F. M. Zeyada, G. H. Hassan, and M. A. Ahmed, “A generalization of a fixed point theorem due to Hitzler and Seda in dislocated quasi-metric spaces,” The Arabian Journal for Science and Engineering Section A, vol. 31, no. 1, pp. 111–114, 2006. View at MathSciNet
  7. C. T. Aage and J. N. Salunke, “The results on fixed points in dislocated and dislocated quasi-metric space,” Applied Mathematical Sciences, vol. 2, no. 57–60, pp. 2941–2948, 2008. View at Zentralblatt MATH · View at MathSciNet
  8. A. Isufati, “Fixed point theorems in dislocated quasi-metric space,” Applied Mathematical Sciences, vol. 4, no. 5–8, pp. 217–223, 2010. View at Zentralblatt MATH · View at MathSciNet
  9. R. Chen, Fixed Point Theory and Applications, National Defense Industry press, 2012.
  10. Y. Yu and D. Sheng, “On the strong convergence of an algorithm about firmly pseudo-demicontractive mappings for the split common fixed-point problem,” Journal of Applied Mathematics, vol. 2012, Article ID 256930, 9 pages, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  11. D. F. Xia, M. F. Fu, and B. Jiang, “Common fixed points for two self-mappings on symmetric sets and complete metric spaces,” Advances in Mathematics, vol. 36, no. 4, pp. 415–420, 2007. View at MathSciNet