Uniformity and inexact version of a proximal method for metrically regular mappings

[1]  Zdzisław Denkowski,et al.  Set-Valued Analysis , 2021 .

[2]  A. Dontchev,et al.  Convergence of the proximal point method for metrically regular mappings , 2007 .

[3]  Paulo J. S. Silva,et al.  Inexact Proximal Point Algorithms and Descent Methods in Optimization , 2005 .

[4]  Giuseppe Marino,et al.  Convergence of generalized proximal point algorithms , 2004 .

[5]  Asen L. Dontchev,et al.  Regularity and Conditioning of Solution Mappings in Variational Analysis , 2004 .

[6]  R. Rockafellar,et al.  The radius of metric regularity , 2002 .

[7]  Alfredo N. Iusem,et al.  Inexact Variants of the Proximal Point Algorithm without Monotonicity , 2002, SIAM J. Optim..

[8]  Teemu Pennanen,et al.  Local Convergence of the Proximal Point Algorithm and Multiplier Methods Without Monotonicity , 2002, Math. Oper. Res..

[9]  M. Solodov,et al.  A UNIFIED FRAMEWORK FOR SOME INEXACT PROXIMAL POINT ALGORITHMS , 2001 .

[10]  A. Ioffe Metric regularity and subdifferential calculus , 2000 .

[11]  R. Tyrrell Rockafellar,et al.  Characterizations of Strong Regularity for Variational Inequalities over Polyhedral Convex Sets , 1996, SIAM J. Optim..

[12]  William W. Hager,et al.  An inverse mapping theorem for set-valued maps , 1994 .

[13]  R. Rockafellar Monotone Operators and the Proximal Point Algorithm , 1976 .

[14]  Stephen M. Robinson,et al.  Regularity and Stability for Convex Multivalued Functions , 1976, Math. Oper. Res..

[15]  B. Mordukhovich Variational analysis and generalized differentiation , 2006 .

[16]  Bingsheng He,et al.  A Relaxed Approximate Proximal Point Algorithm , 2005, Ann. Oper. Res..

[17]  M. V. Solodovy,et al.  A Hybrid Projection{proximal Point Algorithm , 1998 .

[18]  Asen L. Dontchev,et al.  UNIFORM CONVERGENCE OF THE NEWTON METHOD FOR AUBIN CONTINUOUS MAPS , 1996 .

[19]  Asen L. Dontchev,et al.  Characterizations of Lipschitz Stability in Optimization , 1995 .

[20]  B. Mordukhovich Complete characterization of openness, metric regularity, and Lipschitzian properties of multifunctions , 1993 .

[21]  S. M. Robinson Some continuity properties of polyhedral multifunctions , 1981 .

[22]  P. Kenderov,et al.  Semi-continuity of set-valued monotone mappings , 1975 .

[23]  C. Ursescu Multifunctions with convex closed graph , 1975 .

[24]  B. Martinet,et al.  R'egularisation d''in'equations variationnelles par approximations successives , 1970 .