Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ABSORBING PAIRS FACILITATING COMMON FIXED POINT THEOREMS FOR LIPSCHITZIAN TYPE MAPPINGS IN SYMMETRIC SPACES

  • Gopal, Dhananjay (Department of Mathematics and Humanities S.V. National Institute of Technology) ;
  • Hasan, Mohammad (Department of Applied Mathematics Aligarh Muslim University) ;
  • Imdad, Mohammad (Department of Mathematics Aligarh Muslim University)
  • Received : 2010.12.01
  • Published : 2012.04.30
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Abstract

The purpose of this paper is to improve certain results proved in a recent paper of Soliman et al. [20]. These results are the outcome of utilizing the idea of absorbing pairs due to Gopal et al. [6] as opposed to two conditions namely: weak compatibility and the peculiar condition initiated by Pant [15] to ascertain the common fixed points of Lipschitzian mappings. Some illustrative examples are also furnished to highlight the realized improvements.

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References

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