On regularity for constrained extremum problems. Part 2: necessary optimality conditions
A Moldovan, L Pellegrini - Journal of optimization theory and applications, 2009 - Springer
A particular theorem for linear separation between two sets is applied in the image space
associated with a constrained extremum problem. In this space, the two sets are a convex …
associated with a constrained extremum problem. In this space, the two sets are a convex …
Constrained extremum problems and image space analysis–part I: optimality conditions
S Li, Y Xu, M You, S Zhu - Journal of Optimization Theory and Applications, 2018 - Springer
Image space analysis is a new tool for studying scalar and vector constrained extremum
problems as well as generalized systems. In the last decades, the introduction of image …
problems as well as generalized systems. In the last decades, the introduction of image …
Image space analysis for variational inequalities with cone constraints and applications to traffic equilibria
J Li, NJ Huang - Science China Mathematics, 2012 - Springer
In this paper, the image space analysis (for short, ISA) is employed to investigate variational
inequalities (for short, VI) with cone constraints. Linear separation for VI with cone …
inequalities (for short, VI) with cone constraints. Linear separation for VI with cone …
Constrained extremum problems, regularity conditions and image space analysis. Part II: the vector finite-dimensional case
L Pellegrini, S Zhu - Journal of Optimization Theory and Applications, 2018 - Springer
The scalar finite-dimensional case has been discussed in the first part of this work series,
which aims at exploiting the image space analysis to establish a general regularity condition …
which aims at exploiting the image space analysis to establish a general regularity condition …