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Zbl 1223.47108
Zegeye, Habtu; Shahzad, Naseer
Strong convergence theorems for monotone mappings and relatively weak nonexpansive mappings. (English)
[J] Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 7, A, 2707-2716 (2009). ISSN 0362-546X

Summary: We prove strong convergence theorems to a zero of a monotone mapping and a fixed point of relatively weak nonexpansive mapping. Moreover, strong convergence theorems to a point which is a fixed point of relatively weak nonexpansive mapping and a solution of a certain variational problem are proved under appropriate conditions.

MSC 2000:: *47J25 Methods for solving nonlinear operator equations (general)
47H05 Monotone operators (with respect to duality)
47H09 Mappings defined by "shrinking" properties

Keywords: generalized projection; $\gamma $-inverse strongly monotone mappings; monotone mappings; strong convergence; strongly monotone mappings; variational inequality problems

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