# Asymptotic analysis, existence and sensitivity results for a class of multivalued complementarity problems

Fabián Flores-Bazán; Rubén López

ESAIM: Control, Optimisation and Calculus of Variations (2006)

- Volume: 12, Issue: 2, page 271-293
- ISSN: 1292-8119

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topFlores-Bazán, Fabián, and López, Rubén. "Asymptotic analysis, existence and sensitivity results for a class of multivalued complementarity problems." ESAIM: Control, Optimisation and Calculus of Variations 12.2 (2006): 271-293. <http://eudml.org/doc/249671>.

@article{Flores2006,

abstract = {
In this work we study the multivalued complementarity problem on
the non-negative orthant. This is carried out by describing
the asymptotic behavior of the sequence of approximate
solutions to its multivalued variational inequality formulation.
By introducing new classes of multifunctions we provide several
existence (possibly allowing unbounded solution set), stability as well as
sensitivity results which extend and
generalize most of the existing ones in the literature.
We also present some kind of robustness results regarding existence
of solution with respect to certain perturbations.
Topological properties of the solution-set multifunction are
established and some notions of approximable multifunctions are
also discussed. In addition,
some estimates for the solution set and its
asymptotic cone are derived, as well as the existence of solutions for
perturbed problems is studied.
},

author = {Flores-Bazán, Fabián, López, Rubén},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Multivalued complementarity problem; copositive mappings;
asymptotic analysis;
outer semicontinuity; graphical convergence. ; multivalued complementarity problem; asymptotic analysis; outer semicontinuity; graphical convergence},

language = {eng},

month = {3},

number = {2},

pages = {271-293},

publisher = {EDP Sciences},

title = {Asymptotic analysis, existence and sensitivity results for a class of multivalued complementarity problems},

url = {http://eudml.org/doc/249671},

volume = {12},

year = {2006},

}

TY - JOUR

AU - Flores-Bazán, Fabián

AU - López, Rubén

TI - Asymptotic analysis, existence and sensitivity results for a class of multivalued complementarity problems

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2006/3//

PB - EDP Sciences

VL - 12

IS - 2

SP - 271

EP - 293

AB -
In this work we study the multivalued complementarity problem on
the non-negative orthant. This is carried out by describing
the asymptotic behavior of the sequence of approximate
solutions to its multivalued variational inequality formulation.
By introducing new classes of multifunctions we provide several
existence (possibly allowing unbounded solution set), stability as well as
sensitivity results which extend and
generalize most of the existing ones in the literature.
We also present some kind of robustness results regarding existence
of solution with respect to certain perturbations.
Topological properties of the solution-set multifunction are
established and some notions of approximable multifunctions are
also discussed. In addition,
some estimates for the solution set and its
asymptotic cone are derived, as well as the existence of solutions for
perturbed problems is studied.

LA - eng

KW - Multivalued complementarity problem; copositive mappings;
asymptotic analysis;
outer semicontinuity; graphical convergence. ; multivalued complementarity problem; asymptotic analysis; outer semicontinuity; graphical convergence

UR - http://eudml.org/doc/249671

ER -

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