4.5 Article

Strong Convergence Theorem on Split Equilibrium and Fixed Point Problems in Hilbert Spaces

Journal

Publisher

SPRINGER
DOI: 10.1007/s40840-016-0392-5

Keywords

Split equilibrium problem; Nonexpansive mappings; Split feasible solution; Hilbert spaces

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Funding

  1. Natural Science Foundation of Hebei Province [A2015502021]
  2. Fundamental Research Funds for the Central Universities [2014ZD44, 2015MS78]
  3. SRF for ROCS, SEM

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In this paper, we propose an iterative algorithm to find the common element of set of solutions of a split equilibrium problem and set of fixed points of an asymptotically nonexpansive mapping in Hilbert spaces. The new method is used to prove the strong convergence for the result of this paper. The result extends the corresponding one in the literature.

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