Weak and Strong Convergence of Solutions to Accretive Operator Inclusions and Applications

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Weak convergence of an iterative sequence for accretive operators in Banach spaces (2006, unknown): “For convergence theorems in the Lebesgue spaces Lp (1 p ≤ 2), see Iiduka and Takahashi [9, 10].”
Modified Extragradient Methods for a System of Variational Inequalities in Banach Spaces (2010, methodology): “Several numerical methods have been developed for solving variational inequalities and related optimization problems, see [1–45] and the references therein.”
Fixed Point Theorems and Ergodic Theorems for Nonlinear Mappings in Hilbert Spaces (2011, unknown): “Let C be a nonempty subset of a Banach space E. A mapping T : C → E is nonexpansive [5, 9, 19 ]i f� Tx − Ty �≤� x −y� for all x, y ∈ C. A mapping T : C → E is quasi-nonexpansive if F( T ) � and � Tx − y �≤ � x − y� for all x ∈ C and y ∈ F( T ) ,w here F( T ) is the set of fixed points of T .I fC i”
Weak and Strong Convergence Theorems for Maximal Monotone Operators in a Banach Space (2004, background): “Further, Kamimura and Takahashi [9, 10 ] extended these theorems to accretive operators in a uniformly convex Banach space.”