References
- Robinson SM . Generalized equations and their solutions. I. Basic theory. Point-to-set maps and mathematical programming. Math Program Stud. 1979;10:128–141.
- Mordukhovich BS . Variational analysis and generalized differentiation. I. Basic theory. II. Applications: Springer-Verlag, Berlin; 2006.
- Aragon FJ , Artacho BS . Mordukhovich, Metric regularity and Lipscithian stability of parametric variational systems. Nonlinear Anal. 2010;72:1149–1170.
- Aragon Artacho FJ , Mordukhovich BS . Enhanced metric regularity and Lipscithian stability of variational systems. J Glob Optim. 2011;50:145–167.
- Dontchev AL , Frankowska H . Lyusternik--Graves theorem and fixed points. Proc Am Math Soc. 2011;139:521–534.
- Dontchev AL , Rockafellar RT . Newton’s method for generalized equations: a sequential implicit function theorem. Math Program Serie B. 2010;123:139–159.
- Durea M , Nguyen HT , Strugariu R . Metric regularity of epigraphical multivalued mappings and applications to vector optimization. Math Program Serie B. 2013;139:139–159.
- Durea M , Strugariu R . Openness stability and implicit multifunction theorems: applications to variational systems. Nonlinear Anal. 2012;75:1246–1259.
- Mordukhovich BS . Lipschitzian stability of constraint systems and generalized equations. Nonlinear Anal. 1994;22:173–206.
- Robinson SM . Strongly regular generalized equations. Math Oper Res. 1980;5:43–62.
- Dontchev AL , Rockafellar RT . Implicit functions and solution mappings. Berlin: Springer; 2009.
- Dontchev AL , Rockafellar RT . Robinson’s implicit function theorem and its extensions. Math Program Serie B. 2009;117:129–147.
- Uderzo A . On some regularity properties in variational analysis. Set-Valued Anal. 2009;17:409–430.
- Aubin JP . Lipschitz behavior of solutions to convex minimization problems. Math Oper Res. 1984;9:87–111.
- Ioffe AD . Towards variational analysis in metric spaces: metric regularity and fixed points. Math Program Serie B. 2010;123:241–252.
- Mordukhovich BS . Complete characterizations of openness, metric regularity, and Lipschitzian properties of multifunctions. Trans Amer Math Soc. 1993;340:1–35.
- Zheng XY , Ng KF . Metric regularity and constraint qualifications for convex inequalities on Banach spaces. SIAM J Optim. 2004;14:757–772.
- Zheng XY , Ng KF . Metric subregularity and calmness for nonconvex generalized equations in Banach spaces. SIAM J Optim. 2010;20:2119–2136.
- Zheng XY , Zhu JX . Generalized metric subregularity and regularity with respect to an admissible function. SIAM J Optim. 2016;26:535–563.
- Dontchev AL , Hager WW . An inverse mapping theorem for set-valued maps. Proc Am Math Soc. 1994;121:481–489.