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

Year 2013, Volume: 42 Issue: 5, 495 - 500, 01.05.2013

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.

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.
  • Mustafa, Z. and Sims,B. Fixed point theorems for contractive mappings in complete Gmetric spaces, Fixed Point Theory and Applications 2009, Article ID 917175, 2009 Shatanawi, W. Fixed point theory for contractive mappings satisfying Φ-maps in G-metric spaces, Fixed Point Theory and Applications 2010, Article ID 181650, 2010.
  • Vats, R. K., Kumar, S. and Sihag, V. Some common fixed point theorem for compatible mappings of type (A) in complete G-metric space, Advances in Fuzzy Mathematics, 6 No 1, 27–38, 2011.
Year 2013, Volume: 42 Issue: 5, 495 - 500, 01.05.2013

Abstract

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.
  • Mustafa, Z. and Sims,B. Fixed point theorems for contractive mappings in complete Gmetric spaces, Fixed Point Theory and Applications 2009, Article ID 917175, 2009 Shatanawi, W. Fixed point theory for contractive mappings satisfying Φ-maps in G-metric spaces, Fixed Point Theory and Applications 2010, Article ID 181650, 2010.
  • Vats, R. K., Kumar, S. and Sihag, V. Some common fixed point theorem for compatible mappings of type (A) in complete G-metric space, Advances in Fuzzy Mathematics, 6 No 1, 27–38, 2011.
There are 10 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Mathematics
Authors

Feng Gu This is me

Hongqing Ye This is me

Publication Date May 1, 2013
Published in Issue Year 2013 Volume: 42 Issue: 5

Cite

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.
AMA Gu F, Ye H. FIXED POINT THEOREMS FOR A THIRD POWER TYPE CONTRACTION MAPPINGS IN G-METRIC SPACES. Hacettepe Journal of Mathematics and Statistics. May 2013;42(5):495-500.
Chicago 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 42, no. 5 (May 2013): 495-500.
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 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, 2013.
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 2013), 495-500.
JAMA 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, 2013, pp. 495-00.
Vancouver 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.