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Liu, Ying

A general iterative method for equilibrium problems and strict pseudo-contractions in Hilbert spaces. (English) Zbl 1222.47104

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 10, 4852-4861 (2009).
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.

Cited in 1 Review
Cited in 50 Documents

MSC:

47J25 Iterative procedures involving nonlinear operators
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
47H05 Monotone operators and generalizations
47H06 Nonlinear accretive operators, dissipative operators, etc.

Keywords:

fixed point; equilibrium problem; strict pseudo-contraction; bifunctions
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\textit{Y. Liu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 10, 4852--4861 (2009; Zbl 1222.47104)
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References:

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