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In recent years there is a growing interest in generalized convex
fu- tions and generalized monotone mappings among the researchers
of - plied mathematics and other sciences. This is due to the fact
that mathematical models with these functions are more suitable to
describe problems of the real world than models using conventional
convex and monotone functions. Generalized convexity and
monotonicity are now considered as an independent branch of applied
mathematics with a wide range of applications in mechanics,
economics, engineering, finance and many others. The present volume
contains 20 full length papers which reflect c- rent theoretical
studies of generalized convexity and monotonicity, and numerous
applications in optimization, variational inequalities, equil- rium
problems etc. All these papers were refereed and carefully selected
from invited talks and contributed talks that were presented at the
7th International Symposium on Generalized Convexity/Monotonicity
held in Hanoi, Vietnam, August 27-31, 2002. This series of Symposia
is or- nized by the Working Group on Generalized Convexity (WGGC)
every 3 years and aims to promote and disseminate research on the
field. The WGGC (http: //www.genconv.org) consists of more than 300
researchers coming from 36 countries
Although the monograph Progress in Optimization I: Contributions
from Aus tralasia grew from the idea of publishing a proceedings of
the Fourth Optimiza tion Day, held in July 1997 at the Royal
Melbourne Institute of Technology, the focus soon changed to a
refereed volume in optimization. The intention is to publish a
similar book annually, following each Optimization Day. The idea of
having an annual Optimization Day was conceived by Barney Glover;
the first of these Optimization Days was held in 1994 at the
University of Ballarat. Barney hoped that such a yearly event would
bring together the many, but widely dispersed, researchers in
Australia who were publishing in optimization and related areas
such as control. The first Optimization Day event was followed by
similar conferences at The University of New South Wales (1995),
The University of Melbourne (1996), the Royal Melbourne Institute
of Technology (1997), and The University of Western Australia
(1998). The 1999 conference will return to Ballarat University,
being organized by Barney's long-time collaborator Alex Rubinov. In
recent years the Optimization Day has been held in conjunction with
other locally-held national or international conferences. This has
widened the scope of the monograph with contributions not only
coming from researchers in Australia and neighboring regions but
also from their collaborators in Europe and North America."
Although the monograph Progress in Optimization I: Contributions
from Aus tralasia grew from the idea of publishing a proceedings of
the Fourth Optimiza tion Day, held in July 1997 at the Royal
Melbourne Institute of Technology, the focus soon changed to a
refereed volume in optimization. The intention is to publish a
similar book annually, following each Optimization Day. The idea of
having an annual Optimization Day was conceived by Barney Glover;
the first of these Optimization Days was held in 1994 at the
University of Ballarat. Barney hoped that such a yearly event would
bring together the many, but widely dispersed, researchers in
Australia who were publishing in optimization and related areas
such as control. The first Optimization Day event was followed by
similar conferences at The University of New South Wales (1995),
The University of Melbourne (1996), the Royal Melbourne Institute
of Technology (1997), and The University of Western Australia
(1998). The 1999 conference will return to Ballarat University,
being organized by Barney's long-time collaborator Alex Rubinov. In
recent years the Optimization Day has been held in conjunction with
other locally-held national or international conferences. This has
widened the scope of the monograph with contributions not only
coming from researchers in Australia and neighboring regions but
also from their collaborators in Europe and North America."
In recent years there is a growing interest in generalized convex
fu- tions and generalized monotone mappings among the researchers
of - plied mathematics and other sciences. This is due to the fact
that mathematical models with these functions are more suitable to
describe problems of the real world than models using conventional
convex and monotone functions. Generalized convexity and
monotonicity are now considered as an independent branch of applied
mathematics with a wide range of applications in mechanics,
economics, engineering, finance and many others. The present volume
contains 20 full length papers which reflect c- rent theoretical
studies of generalized convexity and monotonicity, and numerous
applications in optimization, variational inequalities, equil- rium
problems etc. All these papers were refereed and carefully selected
from invited talks and contributed talks that were presented at the
7th International Symposium on Generalized Convexity/Monotonicity
held in Hanoi, Vietnam, August 27-31, 2002. This series of Symposia
is or- nized by the Working Group on Generalized Convexity (WGGC)
every 3 years and aims to promote and disseminate research on the
field. The WGGC (http: //www.genconv.org) consists of more than 300
researchers coming from 36 countries
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