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Strong Convergence Theorems for a Pair of Strictly Pseudononspreading Mappings

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  • Bin-Chao Deng
  • Tong Chen

Abstract

Let be a real Hilbert space. Let be -, -strictly pseudononspreading mappings; let and be two real sequences in (0,1). For given , the sequence is generated iteratively by , , where with and is strongly monotone and Lipschitzian. Under some mild conditions on parameters and , we prove that the sequence converges strongly to the set of fixed points of a pair of strictly pseudononspreading mappings and .

Suggested Citation

  • Bin-Chao Deng & Tong Chen, 2013. "Strong Convergence Theorems for a Pair of Strictly Pseudononspreading Mappings," Journal of Mathematics, Hindawi, vol. 2013, pages 1-7, July.
    • Handle: RePEc:hin:jjmath:254821
    DOI: 10.1155/2013/254821
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    References listed on IDEAS

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    1. L. C. Zeng & S. Schaible & J. C. Yao, 2005. "Iterative Algorithm for Generalized Set-Valued Strongly Nonlinear Mixed Variational-Like Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 124(3), pages 725-738, March.
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