Journals / Hacettepe Journal of Mathematics and Statistics / 2012 / Cilt: 41 - Sayı: 6

Common fixed point theorem for a family of non-self mappings in cone metric spaces

Pages
853–865
Publication Date
2022-10-18
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Our result generalizes and extends some recent results of Radenovic and Rhoades

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we prove a common xed point theorem for a family of non-self mappings in cone metric spaces (over a cone which is not necessarily normal).
📊
Key Findings & Data:In this paper, we prove a common xed point theorem for a family of non-self mappings in cone metric spaces (over a cone which is not necessarily normal).
💡
Conclusion & Impact:Our result generalizes and extends some recent results of Radenovic and Rhoades
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we prove a common xed point theorem for a family of non-self mappings in cone metric spaces (over a cone which is not necessarily normal). Our result generalizes and extends some recent results of Radenovic and Rhoades

🔖

Cite This Article

HUANG, X., ZHU, C., WEN, X. (2022). Common fixed point theorem for a family of non-self mappings in cone metric spaces. Hacettepe Journal of Mathematics and Statistics, Cilt: 41 - Sayı: 6, 853–865. https://ajindex.com/articles/530451

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (13)

  1. Abbas. M. and Jungck, G. Common fixed point ivsidts for noncommuting mapping» without continuity in cone metric spaces, J. Math. Anal. Appl. 341, 416-420, 2008
  2. Abbas, M. and Rhoades, B.E. Fixed and periodic point results m cone metric spaces, Appl. Math. Lett. 22, 511-515, 2009
  3. Arshad, M., Azam. A. and Vetro, P. Some common fixed point results in cone uniform spaces, Fixed Point Theory and Appl., Article ID 493965, 11 Pages. doi.10.1155/2009/493965, 2009. [4| Assad, N. A. and Kirk, W. A. Fixed paint theorems for set valued mappings of contractive type. Pacific J. Math. 43(3), 553-562, 1972
  4. Azara, A. and Arshad, M. Common fixed points of generalized contractive maps in cone uniform sjfaces, Bull. Iranian Math. Soc. 35(2), 255-264, 2009, [6] Di Bari, C. and Vetro, P. ip-pairs and common fixed points in cone metric spaces, Rend. Circ. Mat. Palermo 57, 279-285, 2008
  5. Di Bari, C. and Vetro, P. Weakly f-pairs and common fixed pointe in cone metric spaces, Rend. Circ. Mat. Palermo 58, 125- 132, 2009
  6. Hadzic. O. and Gajic, Lj. Coincidence points for set-valued mappings in convex metric spaces, Univ. U. Novom. Sadu. Zb. Rad. Prirod. Mat. Fak. Ser. Mat. 16(1), 13 25, 1986
  7. Haghi, R. H. nd Rezapour, Sh. Fixed points of multifunction^ on regular cone metric spaces. Expo. Math. 28, 71-77, 2009
  8. Haghi, R. H., Rezapour, Sh. and Shahzad, N. Some fixed point generalizations are not real generalizations. Nonlinear Anal. 74, 1799-1803, 2011
  9. Huang. L. G. and Zhang, X. Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332, 1468-1476, 2007
  10. Huang, X.J., Zhu, C. X. and Wen, X. Common fixed point theorem for four non-self mappings in cone metric spaces. Fixed Point Theory Appl., Article ID 983802, 14 pages, doi: 10.1155/2010/983802, 2010
  11. Ilic, D. and Rakocevic, V. Common fixed points for maps on cone metric spacje. J. Math. Anal. Appl. 341 (2), 876-882, 2008. [14] lmdad, M. and Khan, L. Some common fixed point theorems for a family of mappings in metrically convex spaces, Nonlinear Anal. 67, 2717-2726, 2007
  12. Itndad, M. and Kumar, S. Flhoades-t.ype fixed point theorems for a pair of non-self mappings, Computer and Math, with Appl. 46, 919-927, 2003
  13. Jankovic, S., Kadelburg, Z., Radenovic, S. and Rhoades, B.E. Assad-Kirk-tyj)e fixed point theorems for a pair of nonself mappings on _____;one metric spaces, Fixed Point Theory and Appl., 16 pages, Article ID 761086, doi: 10.1155/200