Volume 55 | Number 1 | Year 2018 | Article Id. IJMTT-V55P506 | DOI : https://doi.org/10.14445/22315373/IJMTT-V55P506
In this paper we have established a fixed point theorem for a generalized Kannan and Chatterjee type contractive mapping in a b-metric spaces. Our result generalizes the result of Kir and Kiziltune[10].
[1] Aydi et al., : A fixed point theorem for set valued Quasicontractions in b-metric spaces, Fixed Point Theory and Applications, 2012 2012:88.
[2] Bhaktin. I.A., : The Contraction Principle in almost metric space. Funct. Anal. Gos. Pd. Inst. Unianawsk, 30 (1989), 26-27
[3] Boriceanu, M., : Fixed point theory for multivalued generalized contraction on a set with two b-metrics, Studia Univ Babes-Bolyai Math. LIV (3), (2009),1-14.
[4] Boriceanu, M. : Multivalued fractals in b-metric spaces. Bota, M., & Fixed Point Theory, 12(2), 21-28, 2011. Petrusel, A
[5] Choudhury, B. S., : Unique fixed point theorem for weakly Contractive mappings, Kathmandu Univ. J. Sci, Eng and Tech, 5 (1),2009, 6-13.
[6] Chatterjea, S. K, : Fixed point theorems, C.R. Acad. Bulgare Sci. 25,1972, 727-730.
[7] Czerwik, S., : Contraction mappings in b-metric spaces, Acta Math inf Univ Ostraviensis. 1 (1993), 5-11.
[8] Czerwik, S., : Nonlinear set-valued contration mappings in b-metric spaces, Atti Sem Math Fis Univ Modena. 46(2), (1998), 263-276.
[9]Kannan, R, ; Some results on fixed points, Bull. Calcutta Math.Soc., 60, 1968, 71-76.
[10] M. Kir,and H. Kiziltune, : On Some Well Known Fixed Point Theorems in b-Metric Spaces. Turkish Journal of Analysis and Number Theory 1, no. 1 (2013): 13-16. doi: 10.12691/tjant-1-1-4.
[11]Moradi, S : New extension of Kannan fixed point theorem Alimohammadi, D. on complete metric and generalized metric space. Int. J. Math. Analysis, 5(47), pp 2313-2320.(2011)
[12] R. Roshan, N. Shobkolaei, : Common fixed point of four maps in b−metric S. Sedghi and M. Abbas Spaces. Hacettepe Journal of Mathematics and Statistics Volume 43 (4) (2014), 613 – 62
Dr.Sanjay Kumar Tiwari, Chanchlesh Kumar, "Some Fixed Point Results in B-Metric Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 55, no. 1, pp. 42-47, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V55P506