대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제26권1호
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  • Pages.23-35
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  • 2011
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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COMPOSITE IMPLICIT RANDOM ITERATIONS FOR APPROXIMATING COMMON RANDOM FIXED POINT FOR A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE RANDOM OPERATORS

  • 투고 : 2008.09.12
  • 발행 : 2011.01.31
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초록

In the present work we construct a composite implicit random iterative process with errors for a finite family of asymptotically nonexpansive random operators and discuss a necessary and sufficient condition for the convergence of this process in an arbitrary real Banach space. It is also proved that this process converges to the common random fixed point of the finite family of asymptotically nonexpansive random operators in the setting of uniformly convex Banach spaces. The present work also generalizes a recently established result in Banach spaces.

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과제정보

연구 과제 주관 기관 : Council of Scientific and Industrial Research(CSIR)

참고문헌

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피인용 문헌

  1. Approximating common random fixed point for two finite families of asymptotically nonexpansive random mappings vol.22, pp.2, 2014, https://doi.org/10.1016/j.joems.2013.07.010