A general iterative method for equilibrium problems and fixed point problems in Hilbert spaces
نویسندگان
چکیده
منابع مشابه
A General Iterative Method for Equilibrium Problems and Fixed Point Problems in Hilbert Spaces
We introduce a general iterative scheme by the viscosity approximation method for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a nonexpansive mapping in a Hilbert space. Our results improve and extend the corresponding ones announced by S. Takahashi and W. Takahashi in 2007, Marino and Xu in 2006, Combettes and Hirstoaga in 2005, and ...
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and Applied Analysis 3 literature. For some works related to the equilibrium problem, fixed point problems, and the variational inequality problem, please see 1–57 and the references therein. However, we note that all constructed algorithms in 7, 9–13, 16, 57 do not work to find the minimum-norm solution of the corresponding fixed point problems and the equilibrium problems. Very recently, Yao ...
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Let H be a real Hilbert space. Consider on H a nonexpansive family T = {T(t) : 0 ≤ t < ∞} with a common fixed point, a contraction f with the coefficient 0 0. Assume that 0 < γ < γ̄ /α and that S = {S (t) : 0 ≤ t < ∞} is a family of nonexpansive self-mappings on H such that F(T ) ⊆ F(S) and T has prop...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2007
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2007.02.044