An Iteration Method for Common Solution of a System of Equilibrium Problems in Hilbert Spaces

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作者
Jong Kyu Kim
Nguyen Buong
机构
[1] Kyungnam University,Department of Mathematics Education
[2] Institute of Information Technology,Department of Mathematics, Vietnamse Academy of Science and Technology
关键词
Hilbert Space; Variational Inequality; Differential Geometry; Convex Subset; Convergence Theorem;
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摘要
The strong convergence theorem is proved for finding a common solution for a system of equilibrium problems: find [inline-graphic not available: see fulltext] where [inline-graphic not available: see fulltext] is a closed convex subset of a Hilbert space [inline-graphic not available: see fulltext] and [inline-graphic not available: see fulltext] are [inline-graphic not available: see fulltext] bifunctions from [inline-graphic not available: see fulltext] into R given exactly or approximatively. As an application, finding a common solution for a system of variational inequality problems is given.
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