Strong Convergence Theorems by Hybrid Methods for Maximal Monotone Operators and Generalized Hybrid Mappings
نویسندگان
چکیده
Let C be a closed convex subset of a real Hilbert space H. Let T be a supper hybrid mapping of C into 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. In this paper, we introduce two iterative sequences by hybrid methods of finding a point of F (T )∩ (A+B)−10, where F (T ) is the set of fixed points of T and (A+B)−10 is the set of zero points of A+B. Then, we prove two strong convergence theorems in a Hilbert space. Using these results, we give some applications.
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