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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 51, 2002 - Issue 2
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Original Articles

NUMERICAL APPROACH TO A STATIONARY SOLUTION OF A SECOND ORDER DISSIPATIVE DYNAMICAL SYSTEM

F. Jules Dept. Math-Info, Campus de Fouillole, Université des Antilles-Guyane, 97159, Pointe à Pitre Cedex, GuadeloupeCorrespondence[email protected]
&
P. E. Maingé Dept. Math-Info, Campus de Fouillole, Université des Antilles-Guyane, 97159, Pointe à Pitre Cedex, GuadeloupeCorrespondence[email protected]
Pages 235-255 | Received 24 Jul 1999, Published online: 10 Jan 2008

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B. Djafari Rouhani, H. Khatibzadeh, M. Rahimi Piranfar & J. Rooin. (2022) Asymptotic behaviour of a dynamical system governed by non-monotone potential and non-potential operators. Optimization 71:9, pages 2703-2726.
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Chih-Sheng Chuang & Chung-Chien Hong. (2022) New Self-Adaptive Algorithms and Inertial Self-Adaptive Algorithms for the Split Variational Inclusion Problems in Hilbert Space. Numerical Functional Analysis and Optimization 43:9, pages 1050-1068.
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Chih-Sheng Chuang. (2017) Hybrid inertial proximal algorithm for the split variational inclusion problem in Hilbert spaces with applications. Optimization 66:5, pages 777-792.
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Articles from other publishers (14)

Yekini Shehu, Qiao-Li Dong, Ziyue Hu & Jen-Chih Yao. (2021) Relaxed inertial fixed point method for infinite family of averaged quasi-nonexpansive mapping with applications to sparse signal recovery. Soft Computing 26:4, pages 1793-1809.
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C. E. Chidume, A. Adamu & M. O. Nnakwe. (2020) Strong convergence of an inertial algorithm for maximal monotone inclusions with applications. Fixed Point Theory and Applications 2020:1.
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E. M. Bednarczuk, A. Jezierska & K. E. Rutkowski. (2018) Proximal primal–dual best approximation algorithm with memory. Computational Optimization and Applications 71:3, pages 767-794.
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Hadi KhatibzadehSajad Ranjbar. (2015) Inexact Inertial Proximal Algorithm for Maximal Monotone Operators. Analele Universitatii "Ovidius" Constanta - Seria Matematica 23:2, pages 133-146.
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Alexandre Cabot & Pierre Frankel. (2010) Asymptotics for Some Proximal-like Method Involving Inertia and Memory Aspects. Set-Valued and Variational Analysis 19:1, pages 59-74.
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Paul-Emile Maingé. (2010) Fixed point iterations coupled with relaxation factors and inertial effects. Nonlinear Analysis: Theory, Methods & Applications 72:2, pages 720-733.
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Paul-Emile Maingé & Nora Merabet. (2010) A new inertial-type hybrid projection-proximal algorithm for monotone inclusions. Applied Mathematics and Computation 215:9, pages 3149-3162.
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Paul-Emile Maingé. (2008) Asymptotic convergence of an inertial proximal method for unconstrained quasiconvex minimization. Journal of Global Optimization 45:4, pages 631-644.
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Paul-Emile Maingé. (2008) Convergence theorems for inertial KM-type algorithms. Journal of Computational and Applied Mathematics 219:1, pages 223-236.
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Paul-Emile Maingé. (2008) Regularized and inertial algorithms for common fixed points of nonlinear operators. Journal of Mathematical Analysis and Applications 344:2, pages 876-887.
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Paul-Emile Maingé & Abdellatif Moudafi. (2008) Convergence of New Inertial Proximal Methods for DC Programming. SIAM Journal on Optimization 19:1, pages 397-413.
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Paul-Emile Maingé. (2006) Inertial Iterative Process for Fixed Points of Certain Quasi-nonexpansive Mappings. Set-Valued Analysis 15:1, pages 67-79.
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Felipe Alvarez. (2004) Weak Convergence of a Relaxed and Inertial Hybrid Projection-Proximal Point Algorithm for Maximal Monotone Operators in Hilbert Space. SIAM Journal on Optimization 14:3, pages 773-782.
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A. Moudafi & M. Oliny. (2003) Convergence of a splitting inertial proximal method for monotone operators. Journal of Computational and Applied Mathematics 155:2, pages 447-454.
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