Iterative approaches to common fixed points of nonexpansive mappings in Banach spaces

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Mann-Type Steepest-Descent and Modified Hybrid Steepest-Descent Methods for Variational Inequalities in Banach Spaces (2008, unknown): “5 (Lemma 2 in [18]; Demiclosedness Principle).”
New Methods with Perturbations for Non-Expansive Mappings in Hilbert Spaces (2011, background): “Recently, iterative methods for finding fixed points of non-expansive mappings have received vast investigations due to its extensive applications in a variety of applied areas of inverse problem, partial differential equations, image recovery, and signal processing; see [1-34] and the references th”
Weak and strong convergence theorems for finite families of asymptotically nonexpansive mappings in Banach spaces (2007, background): “The weak convergence of the Ishikawa sequence for a nonexpansive map in a uniformly convex Banach space with the Opial’s condition or with a Fréchet differentiable norm has been studied extensively by various authors[7,13,16,24,28].”
Iterative Approaches to Solving Equilibrium Problems and Fixed Point Problems of Infinitely Many Nonexpansive Mappings (2009, background): “O’Hara, Pillay and Xu [1], Jung [ 20 ], and Song and Chen [12].”