Volume 47 | Number 1 | Year 2017 | Article Id. IJMTT-V47P502 | DOI : https://doi.org/10.14445/22315373/IJMTT-V47P502
A common fixed point theorem for a pair of weakly compatible mappings is proved in a cone metric pace. We also proved a fixed pint theorem in cone rectangular metric space by using rational type contractive condition.
[1] Abbas M. and Jungck G., Common fixed point results for noncommuting mappings without continuity in cone metric spaces, Journal of Mathematical Analysis and Applications, 341 (2008), 416–420.
[2] Azam A., Arshad M. and Beg I., Banach contraction principle on cone rectangular metric spaces, Appl. Anal. Discrete Math., (to apper), 1,2.
[3] Branciari A., A fixed point theorem of Banach-Caccippoli type on a class of generalized metric spaces, Publ. Math. Debrecen, 57 (2000), 31–37.
[4] Huang L.G. and Zhang X., Cone metric spaces and fixed point theorems of contractive mappings, Journal of Mathematical Analysis and Applicaions, 332(2), (2007), 1468–1476.
[5] Jungck G., Commuting mappings and fixed points, Amer. Math. Monthly., 73 (1976), 261–263.
[6] Jungck G., Compatiblemappings and common fixed points, International Journal of Mathematics and Mathematical Seiences, 9 (1986), 771–779.
[7] Jungck G. and Rhoades B.E., Fixed Points for set valued functions without continuity, Indian J. Pure Appl. Math., 29 (1998), 227–238.
[8] Pant R.P., Common fixed points of non-commutating mappings, J. Math. Anal. Appl. 188 (1994), 436-440.
[9] Pant R.P., Pant V. and Jha K., A note on common fixed point under strict contractive conditions, J. Math Anal. Appl. 227 (2002), 879-880.
[10] Sessa S., On a weak commutativity condition of mappings in fixed point considerations, Publ. Inst. Math. (Beograd)(N.S.), 32 (1982), 149–153.
[11] Kannan R., Some results on fixed points, Bull. Cal. Math. Soc. 60 (1968), 71-76
M. Srivastava; S.C. Ghosh, "Cone Metric Spaces, Cone Rectangular Metric Spaces and Common Fixed Point Theorems," International Journal of Mathematics Trends and Technology (IJMTT), vol. 47, no. 1, pp. 5-13, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V47P502