대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제27권2호
  • /
  • Pages.385-397
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  • 2012
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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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)
  • 투고 : 2010.12.01
  • 발행 : 2012.04.30
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초록

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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참고문헌

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피인용 문헌

  1. Fixed point theorems for non-self mappings in symmetric spaces under φ-weak contractive conditions and an application to functional equations in dynamic programming vol.227, 2014, https://doi.org/10.1016/j.amc.2013.11.014
  2. Some Integral Type Fixed Point Theorems for Non-Self-Mappings Satisfying Generalized(ψ,φ)-Weak Contractive Conditions in Symmetric Spaces vol.2014, 2014, https://doi.org/10.1155/2014/519038
  3. Some Nonunique Common Fixed Point Theorems in Symmetric Spaces through Property vol.2013, 2013, https://doi.org/10.1155/2013/753965