Proximal point method for a special class of nonconvex functions on Hadamard manifolds
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Paulo Roberto Oliveira | G. C. Bento | Orizon P. Ferreira | O. P. Ferreira | P. R. Oliveira | P. Oliveira
[1] Michael J. Todd,et al. On the Riemannian Geometry Defined by Self-Concordant Barriers and Interior-Point Methods , 2002, Found. Comput. Math..
[2] O. P. Ferreira,et al. Contributions to the Study of Monotone Vector Fields , 2002 .
[3] O. P. Ferreira,et al. Subgradient Algorithm on Riemannian Manifolds , 1998 .
[4] S. Lang. Fundamentals of differential geometry , 1998 .
[5] S. Németh. Variational inequalities on Hadamard manifolds , 2003 .
[6] G. C. Bento,et al. Proximal point method for a special class of nonconvex functions on Hadamard manifolds , 2008, 0809.2594.
[7] S. Yau. Mathematics and its applications , 2002 .
[8] C. Udriste,et al. Convex Functions and Optimization Methods on Riemannian Manifolds , 1994 .
[9] Chong Li,et al. Newton's method for sections on Riemannian manifolds: Generalized covariant alpha-theory , 2008, J. Complex..
[10] Alexander Kaplan,et al. Proximal Point Methods and Nonconvex Optimization , 1998, J. Glob. Optim..
[11] Chong Li,et al. Newton's method on Riemannian manifolds: Smale's point estimate theory under the γ-condition , 2006 .
[12] Yu. S. Ledyaev,et al. Nonsmooth analysis on smooth manifolds , 2007 .
[13] D. Motreanu,et al. Quasi-tangent vectors in flow-invariance and optimization problems on Banach manifolds , 1982 .
[14] P. Roberto Oliveira,et al. Steepest descent method with a generalized Armijo search for quasiconvex functions on Riemannian manifolds , 2008 .
[15] Tamás Rapcsák,et al. Local Convexity on Smooth Manifolds , 2005 .
[16] M. Teboulle,et al. Singular Riemannian barrier methods and gradient-projection dynamical systems for constrained optimization , 2004 .
[17] Orizon P. Ferreira,et al. Monotone point-to-set vector fields. , 2000 .
[18] Wolfgang Thämelt. Directional derivatives and generalized gradients on manifolds , 1992 .
[19] O. P. Ferreira. Proximal subgradient and a characterization of Lipschitz function on Riemannian manifolds , 2006 .
[20] Warren Hare,et al. Computing proximal points of nonconvex functions , 2008, Math. Program..
[21] J. Hiriart-Urruty,et al. Convex analysis and minimization algorithms , 1993 .
[22] Oscar S. Rothaus. Domains of Positivity , 1960 .
[23] O. P. Ferreira,et al. Proximal Point Algorithm On Riemannian Manifolds , 2002 .
[24] Orizon Pereira Ferreira,et al. Kantorovich's Theorem on Newton's Method in Riemannian Manifolds , 2002, J. Complex..
[25] F. Clarke. Optimization And Nonsmooth Analysis , 1983 .
[26] A. Barani,et al. Invex sets and preinvex functions on Riemannian manifolds , 2007 .
[27] Pierre-Antoine Absil,et al. Trust-Region Methods on Riemannian Manifolds , 2007, Found. Comput. Math..
[28] R. Rockafellar. Monotone Operators and the Proximal Point Algorithm , 1976 .
[29] Chong Li,et al. Existence of solutions for variational inequalities on Riemannian manifolds , 2009 .
[30] João X. da Cruz Neto,et al. Convex- and Monotone-Transformable Mathematical Programming Problems and a Proximal-Like Point Method , 2006, J. Glob. Optim..
[31] Chong Li,et al. Monotone vector fields and the proximal point algorithm on Hadamard manifolds , 2009 .
[32] M. R. Pouryayevali,et al. Invariant monotone vector fields on Riemannian manifolds , 2009 .
[33] Daniel Azagra Rueda,et al. Nonsmooth analysis and Hamilton-Jacobi equations on Riemannian manifolds , 2005 .
[34] J. Spingarn. Submonotone mappings and the proximal point algorithm , 1982 .
[35] Tamás Rapcsák,et al. Smooth Nonlinear Optimization in Rn , 1997 .
[36] P. R. Oliveira,et al. Proximal point methods for quasiconvex and convex functions with Bregman distances on Hadamard manifolds , 2009 .
[37] J. H. Wang,et al. Monotone and Accretive Vector Fields on Riemannian Manifolds , 2010 .
[38] I. Holopainen. Riemannian Geometry , 1927, Nature.
[39] Felipe Alvarez,et al. A Unifying Local Convergence Result for Newton's Method in Riemannian Manifolds , 2008, Found. Comput. Math..
[40] Jinhua Wang,et al. Uniqueness of the singular points of vector fields on Riemannian manifolds under the gamma-condition , 2006, J. Complex..