Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals

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Modified Extragradient Methods for a System of Variational Inequalities in Banach Spaces (2010, methodology): “4 ([14]) Let {xn} and {zn} be bounded sequences in a Banach space X and let {αn} be a sequence in [0,1] which satisfies the following condition: 0 < lim infn→∞ αn ≤ lim supn→∞ αn < 1.”
Iterative Approaches to Solving Equilibrium Problems and Fixed Point Problems of Infinitely Many Nonexpansive Mappings (2009, methodology): “... process (5) is more general than (4) because it can be applied to solve the problem of finding a common element of the set of solutions of the equilibrium problem (1) and the set of common fixed points of infinitely many nonexpansive mappings; (v) our method of proof is very different from Takah”
On viscosity iterative methods for variational inequalities (2007, neutral): “(See [6]) Let {xn} and {yn} be bounded sequences in a Banach space X and let {αn} be a sequence in [0,1] with 0 < lim infn→∞ αn lim supn→∞ αn < 1.”
Mixed equilibrium problems and optimization problems (2009, neutral): “(See [22].”