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ITERATIVE APPROXIMATION OF FIXED POINTS FOR MULTIVALUED OPERATORS OF THE MONOTONE TYPE IN UNIFORMLY SMOOTH BANACH SPACES

ITERATIVE APPROXIMATION OF FIXED POINTS FOR MULTIVALUED OPERATORS OF THE MONOTONE TYPE IN UNIFORMLY SMOOTH BANACH SPACES*
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摘要 In this paper, let K be a nonempty subset of a uniformly smooth Banach space X, and T:K→2~k be a multivalued operator of the monotone type. The iterative sequence which converges strongly to the unique fixed point of T is given. Our results are the extension and improvements of the results obtained previously by several authors including Dunn, Chidume, Deng and Ding. In this paper, let K be a nonempty subset of a uniformly smooth Banach space X, and T:K→2k be a multivalued operator of the monotone type. The iterative sequence which converges strongly to the unique fixed point of T is given. Our results are the extension and improvements of the results obtained previously by several authors including Dunn, Chidume, Deng and Ding.
作者 曾六川
基金 The Project supported by the Youth Science Fund of Shanghai Higher Learring and NNSF of P.R.
关键词 Multivalued OPERATOR MONOTONE type UNIFORMLY SMOOTH BANACH space. Multivalued operator, monotone type, uniformly smooth Banach space.
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参考文献2

  • 1Deng Lei,Ding Xie-ping. Iterative construction of fixed points for multivalued operators of the monotone type in uniformly smooth Banach spaces[J] 1994,Applied Mathematics and Mechanics(10):897~902
  • 2Deng Lei,Ding Xie-ping. Iterative process for lipschitz local strictly pseudocontractive mappings[J] 1994,Applied Mathematics and Mechanics(2):119~123

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