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• W1977574923 abstract "Abstract The main objectives of this paper are to employ a new proof technique to prove the strong convergence of { x n } and { y n } , defined respectively by x n + 1 = α n u + β n x n + ( 1 − α n − β n ) J r n A x n and  y n + 1 = β n y n + ( 1 − β n ) J r n A ( α n u + ( 1 − α n ) y n ) , to some zero of accretive operator A in a uniformly convex Banach space E with a uniformly Gâteaux differentiable norm (or with a weakly continuous duality mapping J φ ) whenever { α n } and { β n } are sequences in ( 0 , 1 ) and { r n } ⊂ ( 0 , + ∞ ) satisfying the conditions: lim n → ∞ α n = 0 , ∑ n = 1 + ∞ α n = + ∞ , lim sup n → ∞ β n 1 , lim inf n → ∞ r n > 0 ." @default.
• W1977574923 created "2016-06-24" @default.
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• W1977574923 date "2012-03-01" @default.
• W1977574923 modified "2023-10-11" @default.
• W1977574923 title "Halpern type proximal point algorithm of accretive operators" @default.
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• W1977574923 doi "https://doi.org/10.1016/j.na.2011.09.036" @default.
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