Then (T_{1}), (T_{2}) and (T_{3}) are nonexpansive mappings, and f is a contraction mapping with constant (frac{2}{7}).
Let (S Kto X^) be a γ-inverse strongly monotone mapping with constant (gammain 0,1)), let (G, xi Ktimes Ktomathbf{R}) be nonlinear mappings satisfying Assumption 2.1, and let (T Kto K) be a relatively nonexpansive mapping such that (Gamma :=textit{Sol} textit{GEP} text{1.1}))capoperatornametextit{Fix}(Text{1.3}))capoperatorneqemptysetT) neqemptyset).
Let be a bifunction from into satisfying (a1)–(an), an inverse-strongly monotone mapping with constant, an inverse-strongly monotone mapping with constant, a contraction mapping with constant.
Put, where is a strictly pseudo-contractive mapping with constant.
Since is a Lipschitz mapping with constant, we have (2.9).
Let be a nonempty closed convex bounded subset of a real Hilbert space, a multivalued -Lipschitz continuous mapping with constant, a contraction mapping with constant.
Let be a nonempty closed convex bounded subset of a real Hilbert space, a Lipschitz continuous mapping with constant, a contraction mapping with constant.
Let be a bifunction from into satisfying (a1)–(a4), a contraction mapping with constant.
Let (r:H_{1}rightarrow H_{1}) be a contraction mapping with constant (alphain 0,1)).
Let f : E → E be a contraction mapping with constant α ∈ ( 0, 1 ).
It turns out that is also a contractive mapping with constant.
