1,721,022 research outputs found
On the image space analysis for vector quasi-equilibrium problems with a variable ordering relation
No full text
Gap functions for equilibrium problems
No full textThe theory of gap functions, developed in the literature for variational inequalities, is
extended to a general equilibrium problem. Descent methods, with exact an inexact line-search rules,
are proposed. It is shown that these methods are a generalization of the gap function algorithms for
variational inequalities and optimization problems
Application of an extremization method to a linear integral of a statistical decision problem
No full textSome applications of the image space analysis to the duality theory for constrained extremum problems
No full textImage space, Separation, Perturbation function,
A Markov chain model for traffic equilibrium problems
No full textWe consider a stochastic approach in order to define an
equilibrium model for a traffic-network problem.
In particular, we assume a Markovian behaviour of the users in their
movements throughout the zones of the traffic area. This assumption turns out
to be
effective at least in the context of urban traffic, where, in general, the users tend to
travel by choosing the path they find more convenient and not necessarily depending on the
already travelled part.
The developed model is a homogeneous Markov chain, whose
stationary
distributions (if any) characterize the equilibrium
Some relations between duality theory for extremum problems and variational inequalities
No full textAfter revisiting the well-known relationship with the minimax theory, some duality results for constrained extremum problems are related to variational inequalities. In particular, the connection with saddle point conditions and gap functions associated to the variational inequality are analysed
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