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• W2100763399 abstract "Abstract The convex feasibility problem (CFP) of finding a point in the nonempty intersection Equation missing<!-- image only, no MathML or LaTex --> is considered, where r ≥ 1 is an integer and each C m is assumed to be the solution set of a generalized variational inequality. Let C be a nonempty closed and convex subset of a real Hilbert space H . Let A m , B m : C → H be relaxed cocoercive mappings for each 1 ≤ m ≤ r . It is proved that the sequence { x n } generated in the following algorithm: Equation missing<!-- image only, no MathML or LaTex --> where u ∈ C is a fixed point, { α n }, { β n }, { γ n }, { δ (1, n ) }, ..., and { δ ( r , n ) } are sequences in (0, 1) and Equation missing<!-- image only, no MathML or LaTex -->, Equation missing<!-- image only, no MathML or LaTex --> are positive sequences, converges strongly to a solution of CFP provided that the control sequences satisfies certain restrictions. 2000 AMS Subject Classification : 47H05; 47H09; 47H10." @default.
• W2100763399 created "2016-06-24" @default.
• W2100763399 creator A5009808860 @default.
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• W2100763399 date "2011-07-25" @default.
• W2100763399 modified "2023-09-24" @default.
• W2100763399 title "Convergence theorems of solutions of a generalized variational inequality" @default.
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• W2100763399 doi "https://doi.org/10.1186/1687-1812-2011-19" @default.
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