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| AN ITERATIVE METHOD FOR SPLIT VARIATIONAL INCLUSION PROBLEM AND FIXED POINT PROBLEM FOR A FAMILY OF GENERALIZED ASYMPTOTICALLY NONEXPANSIVE SEMIGROUP |
| Lijun Chen |
| (Jinshan College, Fujian Agriculture and Forest University, Fuzhou 350002, Fujian, PR China) |
| DOI： |
| Abstract: |
| In this paper, strong convergence of an iterative sequence is proved, which computes an approximate solution of the set of solutions of split variational inclusion problem, the set of fixed points of a nonexpansive mapping and the set of common fixed points of a family of generalized asymptotically nonexpansive semigroup. Results obtained in this paper extend and unify the previously known results in the previous literatures. |
| Key words: split variational inclusion problem; strong convergence theorem; fixed point problems; generalized asymptotically nonexpansive semigroup |