Volume 57 | Number 3 | Year 2018 | Article Id. IJMTT-V57P528 | DOI : https://doi.org/10.14445/22315373/IJMTT-V57P528
In this paper, we establish the common fixed point theorems of weakly compatible mappings in cone metric space. Our results extend, modify and improve various well known results in the literature.
[1]. Abbas, M. And Jungck, G., Common fixed point results for noncommuting mappings without continuity in cone metric space, J. Math. Anal. Appl., 341(2008), 416-420.
[2]. Banach S., Sur les operations dans les ensemble abstracts ET leur applications aux equations Integral, fund math 3(1922), pp. 133-181.
[3]. Huang and Zhang, Cone metric space and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332(2007), 1468-1476.
[4]. Jha, K., A common fixed point theorem in cone metric space,Kathmandu university journal of science, Engineering and technology vol. 5, No. 1, January 2009.
[5]. Jungck, G., Commutative maps and fixed points, Amer. Math. Monthly, 83(1976), 261-263.
[6]. Jungck, G., Compatible mappings and common fixed points. Internat. J. Math. Math. Sci., 9(4)(1986),771-779.
[7]. Jungck, G. And Rhoades, B. E., Fixed pointg for set valued functions without continuity, Indian J. Pure Appl. Math., 29(3)(1998), 227-238.
[8]. Kannam, Some results on fixed point, bull. Calc. math.Soc. 71-76(1968).
[9]. kannan, R. Some results on fixed point- amer. Bull. Cale.Math.Monthly, 76, 405(1969).
[10]. Pant, R. P., Common fixed points of non-commutating mappings, J. Math. Anal. Appl. 188(1994), 436-440.
[11]. Pant, R. P., Pant, V. and Jha, K., Anote on common fixed points under strict contractive conditions, J. Math. Anal. Appl. 227(2002), 879-880.
[12]. Pathak H.K. and khan M.S., A comparision of various type of compatible maps and common fixed points, Ind. J. pure APPl.Math.28(1997), 477-485.
[13]. Sessa, s., On a weak commutativity condition of mappings in fied point consideration, Publ. Inst. Math. Soc., 32(1982), 149-153.
[14]. Tiwari, S.k., Dubey, R.P., An extension of the paper “ Some fixed point theorems for generalized contractive mapping in cone metric space. Int. j. Math.Archive 4(6) (2013), 112-115.
[15]. Tiwari, S. K. ,Dubey, R. P. andDubey, A. K. , Common fixed point results in cone metric spaces, Int. j. of Math. Research. 2(3) (2013), 352-355.
[16]. Tiwari, S. K. and Das, K., An extension of some common fixed point results for contractive mappings in cone metric spaces, International journal of Engineering science Invention, volume 6 issue 7(July 2017), pp. 07-15.
Deepak Kumar Tiwari, Kaushik Das, S.K.Tiwari, "Study of Common Fixed Point Results for Compatible Mappings in Cone Metric Space," International Journal of Mathematics Trends and Technology (IJMTT), vol. 57, no. 3, pp. 203-211, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V57P528