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

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.

___

  • 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.