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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 815870, 19 pages
http://dx.doi.org/10.1155/2012/815870
Research Article

Some Fixed-Point Results for a -Weak Contraction in -Metric Spaces

1Department of Mathematics, Hashemite University, Zarqa, Jordan
2Faculty of Applied Sciences, University Politehnica of Bucharest, 313 Splaiul Independenţei, 060042 Bucuresti, Romania

Received 7 August 2012; Accepted 4 September 2012

Academic Editor: Yonghong Yao

Copyright © 2012 Wasfi Shatanawi and Mihai Postolache. 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.

Citations to this Article [14 citations]

The following is the list of published articles that have cited the current article.

  • Zead Mustafa, Mujahid Abbas, and Jamal Rezaei Roshan, “Some coincidence point results for generalized (psi,phi)-weakly contractive mappings in ordered G-metric spaces,” Fixed Point Theory and Applications, 2013. View at Publisher · View at Google Scholar
  • Stojan Radenović, “Remarks on Some Recent Coupled Coincidence Point Results in Symmetric -Metric Spaces,” Journal of Operators, vol. 2013, pp. 1–8, 2013. View at Publisher · View at Google Scholar
  • Sumit Chandok, and Simona Dinu, “Common Fixed Points for Weak ψ-Contractive Mappings in Ordered Metric Spaces with Applications,” Abstract and Applied Analysis, vol. 2013, pp. 1–7, 2013. View at Publisher · View at Google Scholar
  • Mohamad Esmaeil Samei, and Shahram Rezapour, “Fixed points of some new contractions on intuitionistic fuzzy metric spaces ,” Fixed Point Theory And Applications, 2013. View at Publisher · View at Google Scholar
  • Feng Gu, and Zhongzhi Yang, “Some new common fixed point results for three pairs of mappings in generalized metric spaces,” Fixed Point Theory and Applications, vol. 2013, no. 1, pp. 174, 2013. View at Publisher · View at Google Scholar
  • Zead Mustafa, Jamal Rezaei Roshan, and Vahid Parvaneh, “Coupled coincidence point results for $(\psi ,\varphi )$-weakly contractive mappings in partially ordered $G_{b}$-metric spaces,” Fixed Point Theory and Applications, vol. 2013, no. 1, pp. 206, 2013. View at Publisher · View at Google Scholar
  • Wasfi Shatanawi, “Omega-Distance and coupled fixed point in G-metric spaces,” Fixed Point Theory And Applications, 2013. View at Publisher · View at Google Scholar
  • Feng Gu, and Yun Yin, “A new common coupled fixed point theorem in generalized metric space and applications to integral equations,” Fixed Point Theory and Applications, vol. 2013, no. 1, pp. 266, 2013. View at Publisher · View at Google Scholar
  • Wasfi Shatanawi, and Ariana Pitea, “Fixed and coupled fixed point theorems of omega-distance for nonlinear contraction,” Fixed Point Theory and Applications, vol. 2013, no. 1, pp. 275, 2013. View at Publisher · View at Google Scholar
  • Sumitra Dalal, Wutiphol Sintunavarat, and Jelena Vujakovic, “Common property (E.A) and existence of fixed points in Menger spaces,” Journal of Inequalities and Applications, 2014. View at Publisher · View at Google Scholar
  • Muhammad Usman Ali, and Tayyab Kamran, “A new approach to (alpha, psi)-contractive nonself multivalued mappings,” Journal of Inequalities and Applications, 2014. View at Publisher · View at Google Scholar
  • Abdul Rahim Khan, Mujahid Abbas, Talat Nazir, and Cristiana Ionescu, “Fixed Points of Multivalued Contractive Mappings in Partial Metric Spaces,” Abstract and Applied Analysis, vol. 2014, pp. 1–9, 2014. View at Publisher · View at Google Scholar
  • Xiao-lan Liu, “Common fixed points of ordered g-contractions in partially ordered metric spaces,” Fixed Point Theory and Applications, vol. 2014, no. 1, pp. 28, 2014. View at Publisher · View at Google Scholar
  • Ljiljana Gajić, and Mila Stojaković, “On mappings with φ-contractive iterate at a point on generalized metric spaces,” Fixed Point Theory and Applications, vol. 2014, no. 1, pp. 46, 2014. View at Publisher · View at Google Scholar