Research Article

FIXED POINT THEOREMS FOR A THIRD POWER TYPE CONTRACTION MAPPINGS IN G-METRIC SPACES

Volume: 42 Number: 5 May 1, 2013
  • Feng Gu
  • Hongqing Ye
EN

FIXED POINT THEOREMS FOR A THIRD POWER TYPE CONTRACTION MAPPINGS IN G-METRIC SPACES

Abstract

In this paper, we introduce a new third power type contractive condition in the G-metric spaces, and several new fixed point theorems areestablished in complete G-metric space. The obtained results in thispaper extend the recent relative results.

Keywords

References

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  3. Manro, S., Bhatia, S. S. and Kumar, S. Expansion mapping theorems in G-metric spaces, Int. J. Contemp. Math. Sciences 5 No 51, 2529–2535, 2010.
  4. Mustafa, Z., Awawdeh, F. and Shatanawi, W. Fixed point theorem for expansive mappings in G-metric spaces, Int. J. Contemp. Math. Sciences 5 No 50, 2463–2472, 2010.
  5. Mustafa, Z., Obiedat, H. and Awawdeh, F. Some fixed point theorems for mappings on complete G-metric spaces, Fixed Point Theory and Applications 2008, Article ID 189870, 200
  6. Mustafa, Z., Shatanawi, W. and Bataineh, M. Existence of fixed points results in G-metric spaces, International Journal of Mathematics and Mathematical Sciences 2009, Article ID 283028, 2009.
  7. Mustafa, Z. and Sims, B. Some remarks concerning D-metric spaces, Proceedings of International Conference on Fixed Point Theory and Applications, Yokohama Publishers Valencia Spain, July 13–19, 189–198, 2004.
  8. Mustafa, Z. and Sims, B. A new approach to a generalized metric space, J. Nonlinear Convex Anal. 7 No 2, 289–297, 2006.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Feng Gu This is me

Hongqing Ye This is me

Publication Date

May 1, 2013

Submission Date

May 11, 2014

Acceptance Date

-

Published in Issue

Year 2013 Volume: 42 Number: 5

APA
Gu, F., & Ye, H. (2013). FIXED POINT THEOREMS FOR A THIRD POWER TYPE CONTRACTION MAPPINGS IN G-METRIC SPACES. Hacettepe Journal of Mathematics and Statistics, 42(5), 495-500. https://izlik.org/JA66KU88XS
AMA
1.Gu F, Ye H. FIXED POINT THEOREMS FOR A THIRD POWER TYPE CONTRACTION MAPPINGS IN G-METRIC SPACES. Hacettepe Journal of Mathematics and Statistics. 2013;42(5):495-500. https://izlik.org/JA66KU88XS
Chicago
Gu, Feng, and Hongqing Ye. 2013. “FIXED POINT THEOREMS FOR A THIRD POWER TYPE CONTRACTION MAPPINGS IN G-METRIC SPACES”. Hacettepe Journal of Mathematics and Statistics 42 (5): 495-500. https://izlik.org/JA66KU88XS.
EndNote
Gu F, Ye H (May 1, 2013) FIXED POINT THEOREMS FOR A THIRD POWER TYPE CONTRACTION MAPPINGS IN G-METRIC SPACES. Hacettepe Journal of Mathematics and Statistics 42 5 495–500.
IEEE
[1]F. Gu and H. Ye, “FIXED POINT THEOREMS FOR A THIRD POWER TYPE CONTRACTION MAPPINGS IN G-METRIC SPACES”, Hacettepe Journal of Mathematics and Statistics, vol. 42, no. 5, pp. 495–500, May 2013, [Online]. Available: https://izlik.org/JA66KU88XS
ISNAD
Gu, Feng - Ye, Hongqing. “FIXED POINT THEOREMS FOR A THIRD POWER TYPE CONTRACTION MAPPINGS IN G-METRIC SPACES”. Hacettepe Journal of Mathematics and Statistics 42/5 (May 1, 2013): 495-500. https://izlik.org/JA66KU88XS.
JAMA
1.Gu F, Ye H. FIXED POINT THEOREMS FOR A THIRD POWER TYPE CONTRACTION MAPPINGS IN G-METRIC SPACES. Hacettepe Journal of Mathematics and Statistics. 2013;42:495–500.
MLA
Gu, Feng, and Hongqing Ye. “FIXED POINT THEOREMS FOR A THIRD POWER TYPE CONTRACTION MAPPINGS IN G-METRIC SPACES”. Hacettepe Journal of Mathematics and Statistics, vol. 42, no. 5, May 2013, pp. 495-00, https://izlik.org/JA66KU88XS.
Vancouver
1.Feng Gu, Hongqing Ye. FIXED POINT THEOREMS FOR A THIRD POWER TYPE CONTRACTION MAPPINGS IN G-METRIC SPACES. Hacettepe Journal of Mathematics and Statistics [Internet]. 2013 May 1;42(5):495-500. Available from: https://izlik.org/JA66KU88XS