International Journal of Mathematics Trends and Technology
Volume 13 | Number 1 | Year 2014 | Article Id. IJMTT-V13P509 | DOI : https://doi.org/10.14445/22315373/IJMTT-V13P509
The object of this paper is to obtain common unique fixed-point theorems for three and four compatible mappings of type (A) in complete metric space using rational inequality .Our result generalizes the results of Jungck [4, 5], Aage and Salunke [2], Shukla, Tiwari and Shukla [3].
[1] A.K. Sharma, V.H. Badshah, V.K. Gupta, common A Common Fixed Point Theorem for Compatible Mappings in Complete Metric Space Using Rational Inequality, International Journal of Advanced Technology in Engineering and Science, Vol. No.02, Issue No. 08, 2014, pp 395-407.
[2] C.T. Aage and J. N. Salunke, On common fixed point theorem in complete space, Int. Math. Forum, 4(3) (2009) pp 151-159.
[3] D.P. Shukla, S.K. Tiwari and S.K.Shukla, unique common fixed theorems for compatible mappings in complete metric space, Gen. Math. Notes, vol.18, No. 1(2013), pp 13-23.
[4] G. Jungck, Commuting maps and fixed points, Amer. Math. Monthly, 83(1976) , pp 261-263.
[5] G. Jungck, P.P. Murthy and Y.J. Cho, Compatible mappings of type (A) and common fixed points, Math. Japonica 38 (1993), pp 381-386.
[6] S. Sessa, On a weak commutativity condition of mappings in fixed point considerations, Publ. Inst. Math. 32(46) (1982): pp149-153.
Arvind Kumar Sharma, V. H. Badshah, V. K. Gupta, "Common Unique Fixed Point Theorems for Compatible Mappings of Type (A) in Complete Metric Space," International Journal of Mathematics Trends and Technology (IJMTT), vol. 13, no. 1, pp. 58-67, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V13P509
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