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

Proximal Point Algorithm On Riemannian Manifolds

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Pages 257-270 | Received 10 Aug 1999, Published online: 10 Jan 2008

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Read on this site (31)

Vo Minh Tam. (2024) Nonlinear evolution equations via resolvent operators on Hadamard manifolds. Quaestiones Mathematicae 47:4, pages 885-903.
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Jingjing Fan, Xiaolong Qin & Bing Tan. (2022) Tseng's extragradient algorithm for pseudomonotone variational inequalities on Hadamard manifolds. Applicable Analysis 101:6, pages 2372-2385.
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Konrawut Khammahawong, Poom Kumam & Parin Chaipunya. (2021) Splitting Algorithms for Equilibrium Problems and Inclusion Problems on Hadamard Manifolds. Numerical Functional Analysis and Optimization 42:14, pages 1645-1682.
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Qamrul Hasan Ansari, Feeroz Babu & Mohd. Zeeshan. (2021) Incremental Quasi-Subgradient Method for Minimizing Sum of Geodesic Quasi-Convex Functions on Riemannian Manifolds with Applications. Numerical Functional Analysis and Optimization 42:13, pages 1492-1521.
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Junfeng Chen, Sanyang Liu & Xiaokai Chang. (2021) Modified Tseng's extragradient methods for variational inequality on Hadamard manifolds. Applicable Analysis 100:12, pages 2627-2640.
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Hai-Shu Lu, Rong Li & Zhi-Hua Wang. (2019) Maximal element with applications to Nash equilibrium problems in Hadamard manifolds. Optimization 68:8, pages 1491-1520.
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Suliman Al-Homidan, Qamrul Hasan Ansari & Feeroz Babu. (2019) Halpern- and Mann-Type Algorithms for Fixed Points and Inclusion Problems on Hadamard Manifolds. Numerical Functional Analysis and Optimization 40:6, pages 621-653.
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Hadi Khatibzadeh & Vahid Mohebbi. (2018) Proximal Point Algorithm for Quasi-Convex Minimization Problems in Metric Spaces. Numerical Functional Analysis and Optimization 39:4, pages 438-448.
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Parin Chaipunya & Poom Kumam. (2017) On the proximal point method in Hadamard spaces. Optimization 66:10, pages 1647-1665.
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Hadi Khatibzadeh, Vahid Mohebbi & Sajad Ranjbar. (2017) New results on the proximal point algorithm in non-positive curvature metric spaces. Optimization 66:7, pages 1191-1199.
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Raweerote Suparatulatorn, Prasit Cholamjiak & Suthep Suantai. (2017) On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces. Optimization Methods and Software 32:1, pages 182-192.
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Xiao-bo Li & Nan-jing Huang. (2015) Generalized weak sharp minima in cone-constrained convex optimization on Hadamard manifolds. Optimization 64:7, pages 1521-1535.
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Guo-ji Tang, Xing Wang & Huan-wen Liu. (2015) A projection-type method for variational inequalities on Hadamard manifolds and verification of solution existence. Optimization 64:5, pages 1081-1096.
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G.C. Bento, O.P. Ferreira & P.R. Oliveira. (2015) Proximal point method for a special class of nonconvex functions on Hadamard manifolds. Optimization 64:2, pages 289-319.
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G.C. Bento & J.X. Cruz Neto. (2014) Finite termination of the proximal point method for convex functions on Hadamard manifolds. Optimization 63:9, pages 1281-1288.
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Jin-Hua Wang & Genaro López. (2011) Modified proximal point algorithms on Hadamard manifolds. Optimization 60:6, pages 697-708.
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F.G.M. Cunha, J.X. da Cruz Neto & P.R. Oliveira. (2010) A proximal point algorithm with a ϕ-divergence for quasiconvex programming. Optimization 59:5, pages 777-792.
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