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A Study on Fixed Point Theorem of Brian Fisher and Others


V. Srinivas, B. Vijayabasker Reddy, R. Umamaheshwar Rao
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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.

V. Srinivas, B. Vijayabasker Reddy, R. Umamaheshwar Rao

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

  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.

Publication Details

Published in : Volume 2 | Issue 4 | July-August - 2016
Date of Publication Print ISSN Online ISSN
2016-08-30 2395-1990 2394-4099
Page(s) Manuscript Number   Publisher
602-605 IJSRSET1624120   Technoscience Academy

Cite This Article

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.
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