Two Generalized Strong Convergence Theorems of Halpern’s Type in Hilbert Spaces and Applications
نویسندگان
چکیده
Let C be a closed convex subset of a real Hilbert space H . Let A be an inverse-strongly monotone mapping of C into H and let B be a maximal monotone operator on H such that the domain of B is included in C . We introduce two iteration schemes of finding a point of (A+B)−10, where (A+B)−10 is the set of zero points of A+B. Then, we prove two strong convergence theorems of Halpern’s type in a Hilbert space. Using these results, we get new and well-known strong convergence theorems in a Hilbert space.
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