@article {IOPORT.06112694,
    author       = {Ceng, L.-C. and Ansari, Q.H. and Yao, J.-C.},
    title        = {An extragradient method for solving split feasibility and fixed point problems.},
    year         = {2012},
    journal      = {Computers \& Mathematics with Applications},
    volume       = {64},
    number       = {4},
    issn         = {0898-1221},
    pages        = {633-642},
    publisher    = {Elsevier Science Ltd. (Pergamon), Oxford},
    doi          = {10.1016/j.camwa.2011.12.074},
    abstract     = {Summary: The purpose of this paper is to introduce and analyze an extragradient method with regularization for finding a common element of the solution set $\Gamma $ of the split feasibility problem and the set $\mathrm{Fix}(S)$ of fixed points of a nonexpansive mapping $S$ in the setting of infinite-dimensional Hilbert spaces. Combining the regularization method and the extragradient method due to {\it N. Nadezhkina} and {\it W. Takahashi} [J. Optim. Theory Appl. 128, No.~1, 191--201 (2006; Zbl 1130.90055)], we propose an iterative algorithm for finding an element of $\mathrm{Fix}(S)\cap \Gamma$. We prove that the sequences generated by the proposed algorithm converge weakly to an element of $\mathrm{Fix}(S)\cap \Gamma$ under mild conditions.},
    identifier   = {06112694},
}