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- W2067932119 abstract "We propose a new discrete version of nonlinear oscillator with damping dynamical system governed by a general maximal monotone operator. We show the weak convergence of solutions and their weighted averages to a zero of a maximal monotone operator . We also prove some strong convergence theorems with additional assumptions on . This iterative scheme gives also an extension of the proximal point algorithm for the approximation of a zero of a maximal monotone operator. These results extend previous results by Brezis and Lions (1978), Lions (1978) as well as Djafari Rouhani and H. Khatibzadeh (2008)." @default.
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- W2067932119 date "2011-01-01" @default.
- W2067932119 modified "2023-10-16" @default.
- W2067932119 title "Asymptotic Behavior of a Discrete Nonlinear Oscillator with Damping Dynamical System" @default.
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- W2067932119 doi "https://doi.org/10.1155/2011/867136" @default.
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