Research Article

On Weakly Commuting Maps and Common Fixed Point Results for Four Maps in G-Metric Spaces ABSTRACT | FULL TEXT

Volume: 41 Number: 6 June 1, 2012
  • W. Shatanawi
  • M. Abbas
EN TR

On Weakly Commuting Maps and Common Fixed Point Results for Four Maps in G-Metric Spaces ABSTRACT | FULL TEXT

Abstract

In this paper, we introduce the concept of weakly commuting maps in G-metric spaces and prove a common fixed point theorem for four self maps in the setting of generalized metric spaces. We also present an example to support our result.

Keywords

References

  1. Abbas, M., Nazir, T., Shatanawi W., and Mustafa, Z. Fixed and Related Fixed Point Theorems for Three Maps in G-Metric Spaces, Hacettepe Journal of Mathematics and Statistics 41, 291-306, 2012.
  2. Abbas, M. and Rhoades, B.E. Common fixed point results for noncommuting mapping without continuity in generalized metric spaces, Appl. Math. and Computation, 215, 262– 269, 2009.
  3. Aydi, H., Damjanovic, B., Sametc, B. and Shatanawi, W. Coupled fixed point theorems for nonlinear contractions in partially ordered G-metric spaces, Math. and Comp. Modelling 54, 2443–2450, 2011.
  4. Aydi, H., Karapinar, E., and Shatanawi, W. Tripled fixed point results in generalized metric spaces, Journal of Applied Mathematics 2012, Article ID 314279, 10 pages, 2012.
  5. Aydi, H., Postolache, M., Shatanawi, W. Coupled fixed point results for (ψ, φ)-weakly contractive mappings in ordered G-metric spaces, Computers and Mathematics with Applications 63, 298–309, 2012.
  6. Chugh, R., Kadian, T., Rani, A. and Rhoades, B. E. Property p in G-metric spaces, Fixed Point Theory Appl. 2010, Article ID 401684, 2010.
  7. Gholizadeh, L., Saadati, R., Shatanawi, W., and Vaezpour, S. M., Contractive mapping in generalized, ordered metric spaces with application in integral equations, Mathematical Problems in Engineering, Article ID 380784, doi:10.1155/2011/380784, 14 pages, 2011.
  8. Mustafa, Z. A new structure for generalized metric spaces with application to fixed point theory (Ph.D. Thesis, The University of Newcastle, Australia, 2005).

Details

Primary Language

English

Subjects

Statistics

Journal Section

Research Article

Authors

W. Shatanawi This is me

M. Abbas This is me

Publication Date

June 1, 2012

Submission Date

May 11, 2014

Acceptance Date

-

Published in Issue

Year 2012 Volume: 41 Number: 6

APA
Shatanawi, W., & Abbas, M. (2012). On Weakly Commuting Maps and Common Fixed Point Results for Four Maps in G-Metric Spaces ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics, 41(6), 823-830. https://izlik.org/JA94ME92RS
AMA
1.Shatanawi W, Abbas M. On Weakly Commuting Maps and Common Fixed Point Results for Four Maps in G-Metric Spaces ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics. 2012;41(6):823-830. https://izlik.org/JA94ME92RS
Chicago
Shatanawi, W., and M. Abbas. 2012. “On Weakly Commuting Maps and Common Fixed Point Results for Four Maps in G-Metric Spaces ABSTRACT | FULL TEXT”. Hacettepe Journal of Mathematics and Statistics 41 (6): 823-30. https://izlik.org/JA94ME92RS.
EndNote
Shatanawi W, Abbas M (June 1, 2012) On Weakly Commuting Maps and Common Fixed Point Results for Four Maps in G-Metric Spaces ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics 41 6 823–830.
IEEE
[1]W. Shatanawi and M. Abbas, “On Weakly Commuting Maps and Common Fixed Point Results for Four Maps in G-Metric Spaces ABSTRACT | FULL TEXT”, Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 6, pp. 823–830, June 2012, [Online]. Available: https://izlik.org/JA94ME92RS
ISNAD
Shatanawi, W. - Abbas, M. “On Weakly Commuting Maps and Common Fixed Point Results for Four Maps in G-Metric Spaces ABSTRACT | FULL TEXT”. Hacettepe Journal of Mathematics and Statistics 41/6 (June 1, 2012): 823-830. https://izlik.org/JA94ME92RS.
JAMA
1.Shatanawi W, Abbas M. On Weakly Commuting Maps and Common Fixed Point Results for Four Maps in G-Metric Spaces ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics. 2012;41:823–830.
MLA
Shatanawi, W., and M. Abbas. “On Weakly Commuting Maps and Common Fixed Point Results for Four Maps in G-Metric Spaces ABSTRACT | FULL TEXT”. Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 6, June 2012, pp. 823-30, https://izlik.org/JA94ME92RS.
Vancouver
1.W. Shatanawi, M. Abbas. On Weakly Commuting Maps and Common Fixed Point Results for Four Maps in G-Metric Spaces ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics [Internet]. 2012 Jun. 1;41(6):823-30. Available from: https://izlik.org/JA94ME92RS