Generalized proximal point algorithms for multiobjective optimization problems
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Zhangyou Chen | X. Q. Yang | Zhangyou Chen | X. Huang | Xx X. Huang | Xq Q. Yang | Zhangyou Chen | X.X. Huang
[1] B. Martinet,et al. R'egularisation d''in'equations variationnelles par approximations successives , 1970 .
[2] Teemu Pennanen,et al. Local Convergence of the Proximal Point Algorithm and Multiplier Methods Without Monotonicity , 2002, Math. Oper. Res..
[3] Jen-Chih Yao,et al. Approximate proximal methods in vector optimization , 2007, Eur. J. Oper. Res..
[5] Osman Güer. On the convergence of the proximal point algorithm for convex minimization , 1991 .
[6] Wataru Takahashi,et al. Strong Convergence of a Proximal-Type Algorithm in a Banach Space , 2002, SIAM J. Optim..
[7] Boris S. Mordukhovich,et al. Hybrid approximate proximal algorithms for efficient solutions in vector optimization , 2011 .
[8] Alfredo N. Iusem,et al. A Projected Gradient Method for Vector Optimization Problems , 2004, Comput. Optim. Appl..
[9] A. Iusem,et al. On a proximal point method for convex optimization in banach spaces , 1997 .
[10] Alfredo N. Iusem,et al. Proximal Methods in Vector Optimization , 2005, SIAM J. Optim..
[11] C. Tammer,et al. Theory of Vector Optimization , 2003 .
[12] Jörg Fliege,et al. Steepest descent methods for multicriteria optimization , 2000, Math. Methods Oper. Res..
[13] Marc Teboulle,et al. Convergence Analysis of a Proximal-Like Minimization Algorithm Using Bregman Functions , 1993, SIAM J. Optim..
[14] Jen-Chih Yao,et al. CODERIVATIVES OF EFFICIENT POINT MULTIFUNCTIONS IN PARAMETRIC VECTOR OPTIMIZATION , 2009 .
[15] Regina Sandra Burachik,et al. A Proximal Point Method for the Variational Inequality Problem in Banach Spaces , 2000, SIAM J. Control. Optim..
[16] Mounir Haddou,et al. An interior-proximal method for convex linearly constrained problems and its extension to variational inequalities , 1995, Math. Program..
[17] R. Phelps. Convex Functions, Monotone Operators and Differentiability , 1989 .
[18] Y. Censor,et al. Proximal minimization algorithm withD-functions , 1992 .
[19] Hirotaka Nakayama,et al. Theory of Multiobjective Optimization , 1985 .
[20] Zhe Chen,et al. Convergence analysis of Tikhonov-type regularization algorithms for multiobjective optimization problems , 2009, Appl. Math. Comput..
[21] Fabián Flores-Bazán. Ideal, weakly efficient solutions for vector optimization problems , 2002 .
[22] Sien Deng. Characterizations of the Nonemptiness and Compactness of Solution Sets in Convex Vector Optimization , 1998 .
[23] Y. Censor,et al. An iterative row-action method for interval convex programming , 1981 .
[24] Boris S. Mordukhovich,et al. Hybrid Approximate Proximal Method with Auxiliary Variational Inequality for Vector Optimization , 2010 .
[25] Xiaoqi Yang,et al. Vector Optimization: Set-Valued and Variational Analysis , 2005 .
[26] Marc Teboulle,et al. Convergence of Proximal-Like Algorithms , 1997, SIAM J. Optim..
[27] L. Bregman. The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming , 1967 .
[28] Jonathan Eckstein,et al. Nonlinear Proximal Point Algorithms Using Bregman Functions, with Applications to Convex Programming , 1993, Math. Oper. Res..
[29] K. Kiwiel. Proximal Minimization Methods with Generalized Bregman Functions , 1997 .
[30] Dimitri P. Bertsekas,et al. Constrained Optimization and Lagrange Multiplier Methods , 1982 .
[31] Alfredo N. Iusem,et al. A Generalized Proximal Point Algorithm for the Variational Inequality Problem in a Hilbert Space , 1998, SIAM J. Optim..
[32] Zhe Chen,et al. A Proximal-Type Method for Convex Vector Optimization Problem in Banach Spaces , 2009 .
[33] Zhe Chen,et al. Approximate generalized proximal-type method for convex vector optimization problem in Banach spaces , 2009, Comput. Math. Appl..
[34] Benar Fux Svaiter,et al. Forcing strong convergence of proximal point iterations in a Hilbert space , 2000, Math. Program..
[35] Y. Censor,et al. On the proximal minimization algorithm with D-Functions , 1992 .
[36] A. Pierro,et al. A relaxed version of Bregman's method for convex programming , 1986 .
[37] Johannes Jahn,et al. Vector optimization - theory, applications, and extensions , 2004 .
[38] Thai Doan Chuong,et al. Generalized Clarke Epiderivatives of Parametric Vector Optimization Problems , 2010 .
[39] M. Teboulle,et al. Asymptotic cones and functions in optimization and variational inequalities , 2002 .
[40] Alfredo N. Iusem,et al. Iterative Methods of Solving Stochastic Convex Feasibility Problems and Applications , 2000, Comput. Optim. Appl..
[41] Jörg Fliege. An Efficient Interior-Point Method for Convex Multicriteria Optimization Problems , 2006, Math. Oper. Res..
[42] R. Rockafellar. Monotone Operators and the Proximal Point Algorithm , 1976 .