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A general iterative method for equilibrium problems and strict pseudo-contractions in Hilbert spaces. (English) Zbl 1222.47104
Summary: We introduce two iterative schemes by the general iterative method for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a k-strictly pseudo-contractive non-self mapping in the setting of real Hilbert spaces. Our results improve and extend the corresponding results given by many others.
MSC:
47J25Iterative procedures (nonlinear operator equations)
47H09Mappings defined by “shrinking” properties
47H05Monotone operators (with respect to duality) and generalizations
47H06Accretive operators, dissipative operators, etc. (nonlinear)