Research Article
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A Common Tripled Fixed Point Theorem For Jungck Type Mappings In G-Metric Spaces

Year 2013, Volume: 26 Issue: 3, 363 - 368, 01.05.2013
https://izlik.org/JA97XU97EM

Abstract

In this paper, we prove a common tripled fixed point theorem for Jungck type mappings in G-metric spaces. We give an example to illustrate our result.

References

  • H. Aydi, E. Karapinar and Z. Mustafa, On common fixed points in G-Metric spaces using (E.A) Property, Comput. Math. Appl., 64(2012), no.6, 1944 - 1956.
  • K.P.R.Rao, G.N.V.Kishore and N.SrinivasaRao, A unique common 3-tupled fixed point theorem for contractions in partial metric spaces, Mathematica Aeterna, Vol.1, no.7(2011), 491-507.
  • K.P.R.Rao and G.N.V.Kishore, A unique common tripled fixed point theorem in partially ordered cone metric spaces, Bulletin of Mathematical Analysis and Applications, Vol.3, Issue 4(2011), 213-222.
  • K.P.R.Rao, G.N.V.Kishore and KenanTas, A unique common tripled fixed point theorem for hybrid pair of maps, Abstract and Applied Analysis, Vol. 2012(2012), 9 pages, Article ID 750403, doi:10.1155/2012/750403.
  • M.Abbas, H.Aydi and E.Karapinar, Tripled fixed points of multi valued nonlinear contraction mappings in partially ordered metric spaces, Abstract Applied Analysis, vol. 2012(2012), Article ID 8126904.
  • N.Hussain, A.Latif and M.H.Shah, Coupled and tripled coincidence point results without compatibility, Fixed point theory doi:10.1186/1687-1812-2012-77. vol. 2012 (2012),77,
  • NurcanBilgili,ErdalKarapinar and PeymanSalimi, Fixed point theorems for generalized contractions on GP-metric spaces, Journal of inequalities and Applications 2013, 2013:39 doi:10.1186/1029-242X-2013-39.
  • NurcanBilgili and ErdalKarapinar, Cyclic contractions via auxiliary functions on G-metric spaces, Fixed point theory and Applications 2013, 2013:49 doi:10.1186/1687-1812- 2013-49.
  • P.P.Murthy and Rashmi, Tripled common fixed point theorems for W-compatible mappings in ordered cone metric spaces, Advances in fixed point theory, 2, no. 2(2012), 157-175.
  • R. Chugh, T. Kadian, A. Rani and B.E. Rhoades, Property P in G-metric spaces, Fixed point theory and Applications, 2010(2010), 401684.(doi:10.1155/2010/401684). Pages, Article ID
  • Ravi P Agarwal and ErdalKarapinar, Remarks on some coupled fixed point theorems in G-metric spaces, Fixed point doi:10.1186/1687-1812-2013-2. 2013, 2013:2 ,
  • S.V.R. Naidu, K.P.R. Rao and N. SrinivasaRao, On the topology of D-metric spaces and the generation of D-metric spaces from metric spaces, Internat. J. Math. Math. Sci., 2004(2004), (doi:10.1155/S0161171204311257) 2719 - 2740.
  • S.V.R. Naidu, K.P.R. Rao and N. SrinivasaRao, On the concepts of balls in a D-metric space, Internat. J. Math. Math. (doi:10.1155/IJMMS.2005.133) no.1, 133-141.
  • S.V.R. Naidu, K.P.R. Rao and N. SrinivasaRao, On convergent sequences and fixed point theorems in D-Metric spaces, Internat. J. Math. Math. Sci., 2005(2005), no.12, 1969 - 1988. (doi:10.1155/IJMMS.2005.1969).
  • V. Berinde and M. Borcut, Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces, Nonlinear Analysis, 74, (15) (2011), 4889 - 4897.
  • V. Berinde and M. Borcut, Tripled coincidence theorems for contractive type mappings in partially ordered metric spaces, Applied Mathematics and Computation, Vol.218, no. 10(2012), 5929-5936.
  • W. Shatanawi, Fixed point theory for contractive mappings satisfying -maps in G-metric spaces, Fixed point theory and Applications, 2010 (2010), 9 Pages, Article ID 181650,(doi:10.1155/2010/181650)
  • Z. Mustafa and B.Sims, Some remarks concerning D- metric spaces, Proceedings of the International Conferences on fixed point theory and Applications, Valencia (Spain) July (2003), 189 - 198.
  • Z. Mustafa and B. Sims, A new approach to generalized metric spaces, Journal of Nonlinear and Convex Analysis, 7(2006), no.2, 289 - 297.
  • Z. Mustafa, H. Obiedat and F. Awawdeh, Some fixed point theorem for mapping on complete G-metric spaces, Fixed Point Theory Appl., 2008 (2008), 12 pages, Article ID 189870.
  • Z. Mustafa and B. Sims, Fixed point theorems for contractive mappings in complete G-metric spaces, Fixed Point Theory Appl., 2009 (2009), 10 pages, Article ID 917175.
  • Z. Mustafa, W. Shatanawi and M.Bataineh, Existence of fixed point results in G-metric spaces, Int. J. Math. Math.Sci., 2009 (2009), 10 pages, Article ID 283028.
  • Z. Mustafa, F. Awawdeh and W.Shatanawi, Fixed point theorem for expansive mappings in G-metric spaces, Int. J. Contemp. Math. Sciences, 5(2010), no. 50, 2463 - 2472.
  • Z. Mustafa and H. Obiedat, A fixed point theorem of Riech in G-metric spaces, CuboA Mathematics Journal, 12(2010), no.1, 83 - 93.
  • Z. Mustafa, M. Khandaqji and W. Shatanawi,
  • Fixed point results on complete G-metric spaces,
  • Stud. Sci. Math. Hungar., 48(2011), 304 - 319.

Year 2013, Volume: 26 Issue: 3, 363 - 368, 01.05.2013
https://izlik.org/JA97XU97EM

Abstract

References

  • H. Aydi, E. Karapinar and Z. Mustafa, On common fixed points in G-Metric spaces using (E.A) Property, Comput. Math. Appl., 64(2012), no.6, 1944 - 1956.
  • K.P.R.Rao, G.N.V.Kishore and N.SrinivasaRao, A unique common 3-tupled fixed point theorem for contractions in partial metric spaces, Mathematica Aeterna, Vol.1, no.7(2011), 491-507.
  • K.P.R.Rao and G.N.V.Kishore, A unique common tripled fixed point theorem in partially ordered cone metric spaces, Bulletin of Mathematical Analysis and Applications, Vol.3, Issue 4(2011), 213-222.
  • K.P.R.Rao, G.N.V.Kishore and KenanTas, A unique common tripled fixed point theorem for hybrid pair of maps, Abstract and Applied Analysis, Vol. 2012(2012), 9 pages, Article ID 750403, doi:10.1155/2012/750403.
  • M.Abbas, H.Aydi and E.Karapinar, Tripled fixed points of multi valued nonlinear contraction mappings in partially ordered metric spaces, Abstract Applied Analysis, vol. 2012(2012), Article ID 8126904.
  • N.Hussain, A.Latif and M.H.Shah, Coupled and tripled coincidence point results without compatibility, Fixed point theory doi:10.1186/1687-1812-2012-77. vol. 2012 (2012),77,
  • NurcanBilgili,ErdalKarapinar and PeymanSalimi, Fixed point theorems for generalized contractions on GP-metric spaces, Journal of inequalities and Applications 2013, 2013:39 doi:10.1186/1029-242X-2013-39.
  • NurcanBilgili and ErdalKarapinar, Cyclic contractions via auxiliary functions on G-metric spaces, Fixed point theory and Applications 2013, 2013:49 doi:10.1186/1687-1812- 2013-49.
  • P.P.Murthy and Rashmi, Tripled common fixed point theorems for W-compatible mappings in ordered cone metric spaces, Advances in fixed point theory, 2, no. 2(2012), 157-175.
  • R. Chugh, T. Kadian, A. Rani and B.E. Rhoades, Property P in G-metric spaces, Fixed point theory and Applications, 2010(2010), 401684.(doi:10.1155/2010/401684). Pages, Article ID
  • Ravi P Agarwal and ErdalKarapinar, Remarks on some coupled fixed point theorems in G-metric spaces, Fixed point doi:10.1186/1687-1812-2013-2. 2013, 2013:2 ,
  • S.V.R. Naidu, K.P.R. Rao and N. SrinivasaRao, On the topology of D-metric spaces and the generation of D-metric spaces from metric spaces, Internat. J. Math. Math. Sci., 2004(2004), (doi:10.1155/S0161171204311257) 2719 - 2740.
  • S.V.R. Naidu, K.P.R. Rao and N. SrinivasaRao, On the concepts of balls in a D-metric space, Internat. J. Math. Math. (doi:10.1155/IJMMS.2005.133) no.1, 133-141.
  • S.V.R. Naidu, K.P.R. Rao and N. SrinivasaRao, On convergent sequences and fixed point theorems in D-Metric spaces, Internat. J. Math. Math. Sci., 2005(2005), no.12, 1969 - 1988. (doi:10.1155/IJMMS.2005.1969).
  • V. Berinde and M. Borcut, Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces, Nonlinear Analysis, 74, (15) (2011), 4889 - 4897.
  • V. Berinde and M. Borcut, Tripled coincidence theorems for contractive type mappings in partially ordered metric spaces, Applied Mathematics and Computation, Vol.218, no. 10(2012), 5929-5936.
  • W. Shatanawi, Fixed point theory for contractive mappings satisfying -maps in G-metric spaces, Fixed point theory and Applications, 2010 (2010), 9 Pages, Article ID 181650,(doi:10.1155/2010/181650)
  • Z. Mustafa and B.Sims, Some remarks concerning D- metric spaces, Proceedings of the International Conferences on fixed point theory and Applications, Valencia (Spain) July (2003), 189 - 198.
  • Z. Mustafa and B. Sims, A new approach to generalized metric spaces, Journal of Nonlinear and Convex Analysis, 7(2006), no.2, 289 - 297.
  • Z. Mustafa, H. Obiedat and F. Awawdeh, Some fixed point theorem for mapping on complete G-metric spaces, Fixed Point Theory Appl., 2008 (2008), 12 pages, Article ID 189870.
  • Z. Mustafa and B. Sims, Fixed point theorems for contractive mappings in complete G-metric spaces, Fixed Point Theory Appl., 2009 (2009), 10 pages, Article ID 917175.
  • Z. Mustafa, W. Shatanawi and M.Bataineh, Existence of fixed point results in G-metric spaces, Int. J. Math. Math.Sci., 2009 (2009), 10 pages, Article ID 283028.
  • Z. Mustafa, F. Awawdeh and W.Shatanawi, Fixed point theorem for expansive mappings in G-metric spaces, Int. J. Contemp. Math. Sciences, 5(2010), no. 50, 2463 - 2472.
  • Z. Mustafa and H. Obiedat, A fixed point theorem of Riech in G-metric spaces, CuboA Mathematics Journal, 12(2010), no.1, 83 - 93.
  • Z. Mustafa, M. Khandaqji and W. Shatanawi,
  • Fixed point results on complete G-metric spaces,
  • Stud. Sci. Math. Hungar., 48(2011), 304 - 319.
There are 27 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Research Article
Authors

K.pandu Rao

K. Rama Rao

Publication Date May 1, 2013
IZ https://izlik.org/JA97XU97EM
Published in Issue Year 2013 Volume: 26 Issue: 3

Cite

APA Rao, K., & Rao, K. R. (2013). A Common Tripled Fixed Point Theorem For Jungck Type Mappings In G-Metric Spaces. Gazi University Journal of Science, 26(3), 363-368. https://izlik.org/JA97XU97EM
AMA 1.Rao K, Rao KR. A Common Tripled Fixed Point Theorem For Jungck Type Mappings In G-Metric Spaces. Gazi University Journal of Science. 2013;26(3):363-368. https://izlik.org/JA97XU97EM
Chicago Rao, K.pandu, and K. Rama Rao. 2013. “A Common Tripled Fixed Point Theorem For Jungck Type Mappings In G-Metric Spaces”. Gazi University Journal of Science 26 (3): 363-68. https://izlik.org/JA97XU97EM.
EndNote Rao K, Rao KR (October 1, 2013) A Common Tripled Fixed Point Theorem For Jungck Type Mappings In G-Metric Spaces. Gazi University Journal of Science 26 3 363–368.
IEEE [1]K. Rao and K. R. Rao, “A Common Tripled Fixed Point Theorem For Jungck Type Mappings In G-Metric Spaces”, Gazi University Journal of Science, vol. 26, no. 3, pp. 363–368, Oct. 2013, [Online]. Available: https://izlik.org/JA97XU97EM
ISNAD Rao, K.pandu - Rao, K. Rama. “A Common Tripled Fixed Point Theorem For Jungck Type Mappings In G-Metric Spaces”. Gazi University Journal of Science 26/3 (October 1, 2013): 363-368. https://izlik.org/JA97XU97EM.
JAMA 1.Rao K, Rao KR. A Common Tripled Fixed Point Theorem For Jungck Type Mappings In G-Metric Spaces. Gazi University Journal of Science. 2013;26:363–368.
MLA Rao, K.pandu, and K. Rama Rao. “A Common Tripled Fixed Point Theorem For Jungck Type Mappings In G-Metric Spaces”. Gazi University Journal of Science, vol. 26, no. 3, Oct. 2013, pp. 363-8, https://izlik.org/JA97XU97EM.
Vancouver 1.K.pandu Rao, K. Rama Rao. A Common Tripled Fixed Point Theorem For Jungck Type Mappings In G-Metric Spaces. Gazi University Journal of Science [Internet]. 2013 Oct. 1;26(3):363-8. Available from: https://izlik.org/JA97XU97EM