Strong Convergence Theorem for a System of Variational Inclusion

HE Zhong-quan · Hu'nan Shifan Daxue xuebao. Ziran kexue ban · 2012

A new system of variational inclusions in Banach spaces is studied.Some nonexpansive mappings are defined.The variational inclusion problems are transformed into mapping fixed point problems.A new iteration algorithm is introduced by the nonexpansive mappings.The convergence of iterative sequence generated by the algorithm is researched.And the strong convergence theorems of the solution for this system of variational inclusions are derived.

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