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
- Chugh, R., Kadian, T., Rani, A., and Rhoades, B. E. Property P in G-metric Spaces, Fixed Point Theory and Applications 2010, Article ID 401684, 2010.
- Dhage, B. C. Generalized metric spaces and mappings with fixed point, Bull. Calcutta Math. Soc. 84, 329–336, 1992.
- 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.
- 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.
- 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
- 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.
- 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.
- 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
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