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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 9 | Number 1 | Year 2014 | Article Id. IJMTT-V9P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V9P505

A Common Fixed Point Theorem on Lohani and Bhadshah


V.Srinivas , R.Umamaheshwar Rao
Abstract

The aim of this paper is to present a common fixed point theorem in a metric space which extends the results of P.C.Lohani V.H.Bhadshah using the weaker conditions such as Weakly compatible and Associated sequence.

Keywords
Fixed point, Self maps, compatible mappings, weakly compatible, associated sequence.
References

[1]. G.Jungck, Compatible mappings and common fixed points, Internat.J.Math.&Math.Sci.9,771- 778,1986.
[2]. R.P.Pant, A Common fixed point theorem under a new condition, Indian J. of Pure and App. Math., 30(2), 147-152, 1999.
[3]. G.Jungck, Compatible mappings and common fixed points (2), Internat.J.Math.&Math.Sci.11, 285-288, 1988.
[4]. G.Jungck and B.E. Rhoades, Fixed point for set valued functions without continuity, Indian J. Pure.Appl.Math., 29 (3), 227-238, 1998.
[5]. S.Sessa, On weak commutativity condition of mappings in fixed point considerations, Publ. Inst.Math.32 (46),149- 153,1980.
[6]. P.C.Lohani and V.H.Badshah, Compatible mappings and common fixed point for four mappings, Bull.Cal.Math. Soc., 90,301-308, 1998.
[7]. B.Fisher, Common fixed points of four mappings, Bull.Inst.Math.Acad.Sinica, 11, 103, 1983.
[8]. V.Srinivas and R.Umamaheshwar Rao, A fixed point theorem for four self maps under weakly compatible maps, Proceeding of world congress on engineering,vol.II,WCE 2008,London,U.K.
[9]. Umamaheshwar Rao.R and V.Srinivas, A generalization of Djoudi’s common fixed point theorem, International J. of Math. Sci.& Engg. Appls., Vol.1, (No.2), 229-238, 2007.
[10]. Umamaheshwar Rao.R ,V.Srinivas and P.Srinkanth Rao, A fixed point theorem on reciprocally continuous self maps” Indian Journal of Mathematics and Mathematical Sciences, Vol.3, No.2, 207-215, 2007.

Citation :

V.Srinivas , R.Umamaheshwar Rao, "A Common Fixed Point Theorem on Lohani and Bhadshah," International Journal of Mathematics Trends and Technology (IJMTT), vol. 9, no. 1, pp. 57-60, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V9P505

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