Browsing by Subject "Variational analysis"

Now showing items 1-8 of 8

    • Boundary of subdifferentials and calmness moduli in linear semi-infinite optimization 
      Cánovas, M.; Hantoute, A.; Parra, J.; Toledo, F. (Springer, 2015)
      This paper was originally motivated by the problem of providing a point-based formula (only involving the nominal data, and not data in a neighborhood) for estimating the calmness modulus of the optimal set mapping in ...
    • Calmness modulus of fully perturbed linear programs 
      Cánovas, M. J.; Hantoute, A.; Parra, J.; Toledo, F. J. (Springer-Verlag Berlin Heidelberg and Mathematical Optimization Society, 2016)
      This paper provides operative point-based formulas (only involving the nominal data, and not data in a neighborhood) for computing or estimating the calmness modulus of the optimal set (argmin) mapping in linear optimization ...
    • Discontinuous sweeping process with prox regular sets 
      Adly, Samir; Nacry, Florent; Thibault, Lionel (EDP Sciences, 2017)
      In this paper, we study the well-posedness (in the sense of existence and uniqueness of a solution) of a discontinuous sweeping process involving prox-regular sets in Hilbert spaces. The variation of the moving set is ...
    • General economic equilibrium with financial markets and retainability 
      Jofré Cáceres, René; Rockafellar, R. T.; Wets, Roger J-B (Springer, 2017)
      A theory of economic equilibrium for incomplete financial markets in general real assets is developed in a new formulation with currency-denominated prices. The "goods" are not only commodities, and they can influence ...
    • Non-convex sweeping processes involving maximal monotone operators 
      Adly, Samir; Le, Ba Khiet (Taylor & Francis, 2017)
      By using a regularization method, we study in this paper the global existence and uniqueness property of a new variant of non-convex sweeping processes involving maximal monotone operators. The system can be considered as ...
    • Prox-regularity approach to generalized equations and image projection 
      Adly, Samir; Nacry, Florent; Thibault, Lionel (EDP Sciences, 2018-04)
      In this paper, we first investigate the prox-regularity behaviour of solution mappings to generalized equations. This study is realized through a nonconvex uniform Robinson Ursescu type theorem. Then, we derive new significant ...
    • Second-order variational analysis in conic programming with applications tooptimality and stability 
      Mordukhovich, Boris S.; Outrata, Jiri V.; Ramírez Cabrera, Héctor (SIAM Publications, 2015)
      This paper is devoted to the study of a broad class of problems in conic programming modeled via parameter-dependent generalized equations. In this framework we develop a secondorder generalized differential approach of ...
    • Unbounded state-dependent sweeping processes with perturbations in uniformly convex and q-uniformly smooth ... 
      Adly, Samir; Le, Ba Khiet (Amer INST. mathematical sciences-AIMS, 2018-03)
      In this paper, the existence of solutions for a class of first and second order unbounded state-dependent sweeping processes with perturbation in uniformly convex and q-uniformly smooth Banach spaces are analyzed by using ...