A Study on Fixed Point Theorem of Brian Fisher and Others

Authors

  • V. Srinivas  Department of Mathematics, University College of Science, Saifabad, Osmania University, Hyderabad, Telangana, India
  • B. Vijayabasker Reddy  Department of Mathematics, Sreenidhi Institue of Science and Technology, Ghatkesar, Telengana, India
  • R. Umamaheshwar Rao  Department of Mathematics, Sreenidhi Institue of Science and Technology, Ghatkesar, Telengana, India

Keywords:

Fixed Point, Self Maps, Iterated Sequence, Compatible Maps, Compatible Mappings of Type

Abstract

The aim of this paper is to prove a common fixed point theorem which generalizes the result of Brian Fisher [1] and etal. by weaker conditions. The conditions compatibility and completeness of a metric space are replaced by weaker conditions such as and compatible mappings of type (p) and the Iterated sequence.

References

  1. Fisher and etal.,1996," Common Fixed Point Theorems for compatible mappings" Internat.J.Math.&Math.Sci,19(3), pp.451- 456.
  2. G, ,1986, "Compatible Mappings and Common Fixed points", Inst. J. Math. Math.Sci. (9), pp.771-779.
  3. Jungck, G., Rhoades, B.E., 1998, "Fixed point for set valued Functions without continuity", Indian.J. Pure.Appl.Math,  29(3), 227-238.
  4. Srinivas,R.Umamaheshwar Rao, 2007 ,"A fixed point theorem for weekly compatible mappings " ,Journal of  Mathematical Sciences & Engineering Applications,1(1),  pp.41-48.
  5. Hk Pathak, Y J Cho, SS Chang, SM Kang, 1996 "Compatible mappings of type (P)and fixed point theorems in metric space  and probabilistic metric spaces". Novi Sad J. Math,  26(2),pp.87-109.
  6. Umamaheshwar Rao & V.Srinivas,Feb. 2012"A common fixed point theorem under certain conditions" Gen. Math.  Notes, Vol.8, No.2, pp: 28-33.

International Journal of Scientific Research in Science, Engineering and Technology

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Published

2016-08-30

Issue

Volume 2, Issue 4, July-August-2016

Section

Research Articles

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How to Cite

[1]
V. Srinivas, B. Vijayabasker Reddy, R. Umamaheshwar Rao, " A Study on Fixed Point Theorem of Brian Fisher and Others, International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 2, Issue 4, pp.602-605, July-August-2016.