A viscosity hybrid steepest-descent method for a system of equilibrium and fixed point problems for an infinite family of strictly pseudo-contractive mappings

作者: Uamporn Witthayarat , Jong Kim , Poom Kumam

DOI: 10.1186/1029-242X-2012-224

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摘要: Based on a viscosity hybrid steepest-descent method, in this paper, we introduce an iterative scheme for finding common element of system equilibrium and fixed point problems infinite family strictly pseudo-contractive mappings which solves the variational inequality � (γ f - μF)q, p q �≤ 0f orp ∈ ∞=1 F(Ti). Furthermore, also prove strong convergence theorems proposed give numerical example to support illustrate our main theorem. MSC: 46C05; 47D03; 47H05,47H09; 47H10; 47H20

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