Fixed Point Theory for Generalized Quasi-contraction Maps in Modular Metric Spaces

Volume 10, Issue 1, pp 54-60 http://dx.doi.org/10.22436/jmcs.010.01.05

Download PDF

Download XML

• Export citations
  • CITATIONS & REFERENCES
  • EndNote (.ENW)
  • Mendeley, JabRef (.BIB)
  • Papers, Zotero, Reference Manager, RefWorks (.RIS)
  • ARTICLE CITATION
  • EndNote (.ENW)
  • Mendeley, JabRef (.BIB)
  • Papers, Zotero, Reference Manager, RefWorks (.RIS)
  • REFERENCES
  • EndNote (.ENW)
  • Mendeley, JabRef (.BIB)
  • Papers, Zotero, Reference Manager, RefWorks (.RIS)

• 2377 Downloads
• 3855 Views

Authors

Hossein Rahimpoor - Department of Mathematics, Payame Noor University, P.O. BOX 19395-3697,Tehran, Iran. Ali Ebadian - Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran. Madjid Eshaghi Gordji - Department of Mathematics, P.O.Box 35195-363, Semnan, Iran. Ali Zohri - Department of Mathematics, Payame Noor University, P.O. BOX 19395-3697,Tehran, Iran.

Abstract

In this paper ,we improve the results of the existence of fixed point theory for generalized quasi contraction maps in modular metric spaces which extends the results of Y.Cho.et al,[Quasi-contraction mapping in modular metric spaces, Journal of Applied Mathematics Volume 2012 (2012), Article ID 907951, 5 pages] .

Share and Cite

Keywords

• modular metric spaces
• quasi-contraction mapping
• fixed point .

MSC

•  54H25
•  54E35
•  54E40

References

• [1] P. Chaipunya, Y. J. Cho, P. Kumam, Geraghty-type theorems in Modular Metric Spaces with an application to partial differential equation, Fixed point theory and applications doi : 10.1186/1687-1847-2012-83. , 2012 (2012), 12
  • View Article
  • MathSciNet
  • Google Scholar
  • MATH


• [2] P. Chaipunya, C. Mongkolkeha, W. Sintunavarat, P. Kumam, Fixed-Point Theorems for Multivalued Mappings in Modular Metric Spaces, Abstract and Applied Analysis , Article ID 503504, doi:10.1155/2012/503504. , 2012 (2012), 14 pages
  • View Article
  • MathSciNet
  • Google Scholar


• [3] Y. Cho, R. Saadati, G. Sadeghi, Quasi-contraction mapping in modular metric spaces, Journal of Applied Mathematics, Article ID 907951, doi:10.1155/2012/907951., 2012 (2012), 5 pages
  • Google Scholar


• [4] V. V. Chistyakov, Modular metric spaces, I:Basic concepts, Nonlinear Analysis, 72 (2010), 1-14.
  • View Article
  • MathSciNet
  • Google Scholar
  • MATH


• [5] V. V. Chistyakov, Modular metric spaces, II:Application to superposition operators, Nonlinear Analysis, 72 (2010), 15-30.
  • View Article
  • MathSciNet
  • Google Scholar
  • MATH


• [6] V. V. Chistyakov, A fixed point theorem for contractions in modular metric spaces, Perprint submited to arXiv , (2011)
  • View Article
  • Google Scholar


• [7] V. V. Chystyakov, Modular metric spaces generated by F-modulars, Folia Math. . MR2646913 (2011j:54030) , 15 (1) (2008), 3-24
  • MathSciNet
  • Google Scholar
  • MATH


• [8] L. B. Ḉiriḉ, A generalization of Banachs contraction principle, Proceedings of the American Mathematical Society, 45(2) (1974), 267-27
  • View Article
  • MathSciNet
  • Google Scholar


• [9] C. Mongkolkeha, W. Sintunavarat, P. Kumam, Fixed point theorem for contraction mappings in modular metric spaces, Fixed Point Theory and Applications doi:10.118611687-1812-2011-93., 2011 (2011), 93
  • View Article
  • MathSciNet
  • Google Scholar


• [10] J. Musielak, W. Orlicz, On modular spaces, Studia Mathematica , 18 (1959), 49-65.
  • Google Scholar


• [11] J. Musielak, W. Orlicz, Some remarks on modular spaces, Bull. Acad. Polon. Sci. Sr. Sci. Math. Astron. Phys. , 7 (1959), 661-668
  • Google Scholar


• [12] H. Nakano, Modular semi-ordered spaces, , Tokyo (1950)
  • Google Scholar