Strong Convergence Theorems for Nonexpansive Semigroups and Variational Inequalities in Banach Spaces

Let 𝑋 be a uniformly convex Banach space and 𝒮={𝑇(𝑠)∶0≤𝑠l∞} be a nonexpansive semigroup such that ⋂𝐹(𝒮)=𝑠g0𝐹(𝑇(𝑠))≠∅. Consider the iterative method that generates the sequence {𝑥𝑛} by the algorithm 𝑥𝑛

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