New hybrid steepest descent algorithms for variational inequalities over the common fixed points set of infinite nonexpansive mappings

Songnian He, Wenwen Sun · WSEAS Transactions on Mathematics archive · 2012

New hybrid steepest descent algorithms which are different from Yamada's hybrid steepest descent algorithms are proposed for solving variational inequalities defined on the common fixed points set of infinite nonexpansive mappings. As the extensions of our main results, algorithms are also given for solving variational inequalities defined on the common fixed points set of infinite κ-strict pseudo-contractions.

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