...

  • Home
  • Articles
    • Current Issue
    • Archives
  • Authors
    • Author Guidelines
    • Policies
    • Downloads
  • Editors
  • Reviewers
...

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 53 | Number 4 | Year 2018 | Article Id. IJMTT-V53P538 | DOI : https://doi.org/10.14445/22315373/IJMTT-V53P538

Common Fixed Point Theorems for Four Maps in d-Complete Topological Spaces


Savita Rathee, Priyanka Gupta, Eena Gupta
Abstract

The purpose of this paper is to prove some common fixed point theorems for four self maps satisfying contractive conditions in d-complete topological spaces using w-continuity. Our results are generalization and enhancement of the results of Cho and Lee and also of Hicks and Rhoades.

Keywords
Commuting maps, d-complete topological spaces, Common fixed point, w-continuous function.
References

[1] Aggarwal, R. P., Regan, D. O. and Shahzad, N.: Fixed point theorems for generalized contractive maps of Mei-Keeler type, Math. Nachr, 276 (2004), 3-12.
[2] Cho, S. H. and Lee, J.H.: Fixed point theorems in d-complete topological spaces, J. Appl. Math. & Informatics, 28(2010), 1009-1015.
[3] Hicks, T. L. and Crisler, W. R.: A note on T1 topologies, Proc. Amer. Math. Soc, 46(1974 ), 94-96.
[4] Hicks, T. L.: Fixed point theorems for d-complete topological spaces I, Int. J. Math. and Math. Sci., 15 (1992), 435-440.
[5] Hicks, T. L. and Rhoades, B. E.: Fixed point theorems for d-complete topological spaces II, Math. Japonica, 37(1992), 847-853.
[6] Hicks, T. L. and Rhoades, B. E.: Fixed points for pairs of mappings in d-complete topological spaces, Int. J. Math. and Math. Sci, 16(2)(1993), 259-266.
[7] Iseki, K.: An approach to fixed point theorems, Math. Seminar Notes, 3(1975), 193-202.
[8] Kasahara, S.: On some generalizations of the Banach contraction theorem, Math. Seminar Notes, 3(1975), 161-169.
[9] Park, S.: Fixed points and periodic points of contractive pairs of maps, Proc. College of Nat. Sci., Seoul National Univ, 5(1980), 9-22.

Citation :

Savita Rathee, Priyanka Gupta, Eena Gupta, "Common Fixed Point Theorems for Four Maps in d-Complete Topological Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 53, no. 4, pp. 301-303, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V53P538

  • PDF
  • Abstract
  • Keywords
  • References
  • Citation
Abstract Keywords References Citation
  • Home
  • Authors Guidelines
  • Paper Submission
  • APC
  • Archives
  • Downloads
  • Open Access
  • Publication Ethics
  • Copyrights Infringement
  • Journals
  • FAQ
  • Contact Us

Follow Us

Copyright © 2025 Seventh Sense Research Group® . All Rights Reserved