Let be with nonempty -convex values, let and be mappings, and let be a mapping such that, for each, is a closed, pointed, and convex cone in with.
Let be a monotone map of into, -Lipschitz continuous mappings and let be the normal cone to when, that is, (2.7).
Let, be an infinite family of set-valued mappings, and let be a nonlinear mapping.
Let be a reflexive Banach space with the dual space let be two continuous mappings, and let be a continuous mapping.
Definition 1.4 [13] (1) Let { A n } : C → C be a sequence of mappings, and let A : C → C be a mapping.
Let E be a Banach space, C be a nonempty closed convex subset of E, and let T1, T2 : C → C be two nonexpansive mappings, and let S: C → C be a mapping which satisfy condition (C).
Let E be a uniformly convex Banach space, C be a nonempty closed convex subset of E, and let T1, T2 : C → C be two nonexpansive mappings, and let S: C → C be a mapping with condition (C).
Let E be a uniformly convex and uniformly smooth Banach space with Opial's condition, C be a nonempty closed convex subset of E, and let T1, T2 : C → C be two nonexpansive mappings, and let S: C → C be a mapping with condition (C).
Let E be a uniformly convex Banach space with Opial's condition, C be a nonempty closed convex subset of E, and let T1, T2 : C → C be two nonexpansive mappings, and let S: C → C be a mapping with condition (C).
Let A, f, g : X → X ; η, N X × X → X X be single-valued mappings, and let η be a τ-Lipschitz continuous mapping, A be an r-strongly η-accretive and α-Lipschitz continuous mapping, f be a χ-Lipschitz continuous mapping, and g be a φ-Lipschitz continuous and - S 3 -relaxed cocoercive with respect to A mapping, respectively.
Let { T n } or { S n } be a sequence of strongly nonexpansive mappings, and let f : C → C be a contractive mapping with α ∈ ( 0, 1 2 ).
