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A hybrid projection algorithm for finding solutions of mixed equilibrium problem and variational inequality problem. (English) Zbl 1203.47043

Summary: We propose a modified hybrid projection algorithm to approximate a common fixed point of a \(k\)-strict pseudocontraction and of two sequences of nonexpansive mappings. We prove a strong convergence theorem of the proposed method and we obtain, as a particular case, approximation of solutions of systems of two equilibrium problems.

MSC:

47J25 Iterative procedures involving nonlinear operators
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
49J40 Variational inequalities
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