Volume 47 | Number 5 | Year 2017 | Article Id. IJMTT-V47P543 | DOI : https://doi.org/10.14445/22315373/IJMTT-V47P543
In this paper, we discuss generalised result on altering distance functions and fixed point theorems of integral type contraction through rational expression on cone metric space.
[1] B.E. Rhoades and M. Abbas, Maps satisfying generalized contractive conditions of integral type for which F(T) = F(Tn), Int. Jour. of Pure and Applied Math. 45 2 (2008) 225231.
[2] R. Chugh, T. Kadian, A. Rani and B. E. Rhoades, Property P in GMetric Spaces, Fixed Point Theory and Applications, vol. 2010, Article ID 401684, 12 pages, 2010. doi:10.1155/2010/401684
[3] G.S. Jeong and B.E. Rhoades, More maps for which F(T) = F(Tn), Demostratio Math., 40 (2007) 671680.
[4] G.S. Jeong and B.E. Rhoades, Maps for which F(T) = F(Tn), Fixed Point Theory and Appl., 6 (2005) 87131.
[5] M. S. Khan, M. Swalech and S. Sessa, Fixed point theorems by altering distances between the points, Bull. Austral Math. Soc., 30 (1984) 19.
[6] Farshid Khojasteh,Zahra Goodarzi, and Abdolrahman Razani, Some Fixed Point Theorems of Integral Type Contraction in Cone Metric Spaces,Fixed Point Theory and Applications,13,2010,
[7] Huang, LG, Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl.,332(2007),1468-1476.
[8] A. Branciari, A fixed point theorem for mappings satisfying a general contractive condition of integral type, International Journal of Mathematics and Mathematical Sciences, vol. 29, no. 9, pp. 531536, 2002.
[9] Krishnakumar .R and Dhamodharan .D, Common Fixed Point of Four Mapping With Contractive Modulus on Cone Banach Space, Malaya J. Mat., 5(2)(2017), 310320.
[10] Krishnakumar.R and Dhamodharan. D, Fixed Point Theorems in normal cone metric space, International J. of Math. Sci. & Engg. Appls. 10(III)(2016),213-224.
[11] Arslan Hojat Ansari,Krishnakumar .R and Dhamodharan .D, Common Fixed Point of Four Mapping with Contractive Modulus on Cone Banach Space via cone C-class function, Global journal of pure and applied mathematics,13(9), (2017),55935610.
R. Krishnakumar, D. Dhamodharan, "Some fixed point theorems for contraction of rational expression on cone metric space," International Journal of Mathematics Trends and Technology (IJMTT), vol. 47, no. 5, pp. 318-322, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V47P543