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In this paper, we use the Yamada's method to modify the normal Mann's iterative process to have strong convergence for a k-strictly pseudo-contractive mapping in the framework of Hilbert spaces.
Let H be a real Hilbert space.Suppose that T is a nonexpansive mapping on H with a fixed point, G is a L-Lipschitzian mapping on H with coefficient L > 0, and F : H → H is a k- Lipschitzian and η-strongly monotone operator with k > 0, η > O. Let 0 <; μ <; 2η/k2, 0 <; γ <; μ(η - μk2/2)/L = τ/L. We pointed out the relationship between Yamada's method and viscosity iteration and...
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