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A cyclic method for solutions of a class of split variational inequality problem in Banach space. (English) Zbl 1474.49018
Summary: In this paper, a cyclic algorithm for approximating a class of split variational inequality problem is introduced and studied in some Banach spaces. A strong convergence theorem is proved. Some applications of the theorem are presented. The results presented here improve, unify, and generalize certain recent results in the literature.
##### MSC:
 49J40 Variational inequalities 47J25 Iterative procedures involving nonlinear operators 47H09 Contraction-type mappings, nonexpansive mappings, $$A$$-proper mappings, etc. 47J20 Variational and other types of inequalities involving nonlinear operators (general)
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