Strong convergence theorems by hybrid methods for maximal monotone operators and generalized hybrid mappings

摘要

Let C be a closed convex subset of a real Hilbert space H. Let T be a supper hybridmapping of C into H, let A be an inverse strongly monotone mapping of C into H and let B be amaximal monotone operator on H such that the domain of B is included in C. In this paper, weintroduce two iterative sequences by hybrid methods of finding a point of F (T ) ∩ (A + B)?10, whereF (T ) is the set of fixed points of T and (A+B)?10 is the set of zero points of A+B. Then, we provetwo strong convergence theorems in a Hilbert space. Using these results, we give some applications.