Scientific Committee Candidates Self Description

In this page you can find a self description of the 10 candidates for the (2009-2012) Scientific Committee of the WGGC.

• ALLEVI Elisabetta (Brescia, Italy)
  I am full professor at the Department of Quantitative Methods of the University of Brescia, Italy, where, since 2007 I am also Chair of the Department of Quantitative Methods. My research activity is focused on  Vector equilibrium and variational inequality problems, Generalized convex functions and generalized monotone mappings, Applications of equilibrium problems and variational inequalities in Economics and Energy markets, Stochastic programming, Utility functions on Ordered  spaces. The increasing complexity of the economic and technological environments, stimulates the development of interesting applications of different mathematical concepts, such as nonlinear optimization problems, variational inequalities, complementarity problems, equilibrium problems. If elected to the scientific committee of the WGGC, I would like to promote the attention to the applications of generalized convexity and monotonicity  in different fields, as Economics, Energy markets and Transportation problems. Moreover I would like to create collaborations with other scientific groups and support sessions in internationals conferences in order to promote WGGC.
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• AUSSEL Didier (Perpignan, France)
  I started working on generalized convexity/monotonicity a long time ago, during my PhD. I developped some theoretical results and tools for the study of quasiconvex functions and for the study of quasimonotone variational inequalities. I deeply think that the Working Group has a leading role to play in the international research map in order to promote and develop the use of generalized convexity and/or monotonicity. Indeed I think that we are now at a corner stone of variational analysis and that people are now convinced that it is time to overcome the convexity/monotonicity hypothesis, i.e. that a lot of applications strongly ask for such a generalization. I'm ready to participate again (I was in the previous SC) to this venture and to give time and energy to the working group.
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• CAMBINI Riccardo (Pisa, Italy)
  I got my PhD degree discussing a thesis on scalar and vector generalized convexity, and I am a member of the Scientific Committee of this Working Group since 1997. I found generalized convexity interesting because of its many applications. Then, I realized that almost all of the papers appearing in the literature have a theoretical and axiomatic flavour. Theory and applications are the two faces of the same medal, the one is useless without the other. In my opinion the Working Group should promote applicative researches where generalized convexity plays a key role. This could improve the iterest in the subject, pointing out that generalized convexity is not just an empty axiomatic mathematical theory with few concrete use.
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• DUTTA Joydeep (Kanpur, India)
  When I had joined my Phd I wanted to work in functional analysis but ended up liking optimization theory and thus graduated in that subject. I have been quiet involved with the use of generalized convexity in my research . I have worked on abstract convexity and my latest involvement with generalized convexity is that of using quasiconvexity in the study of generalized Nash equilibrium problems. My research has been largely focused in application of nonsmooth analysis to problems of optimization including bilevel programming and vector optimization. Lately I am also interested in variational inequalities and vector variational inequalities and the use of the gap functions and D-gap functions to study them. I believe that our working group is a very strong group with researchers from diverse fields and though a small one compared to other mathematical communities there is a lot of warmth in our group. I would be thus delighted to be a part of the Scientific Committee of our group, Being a member from India it will important on my part to make optimization theory and application of generalized convexity more popular in our country. I will also attempt to see if  that a GCGM conference could be organized in India. I will also encourage more young optimization researchers to become a member of our group and try to have a cluster for generalized convexity and optimization in mathematics and OR conferences in India.
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• FLORES-BAZAN Fabián (Concepción, Chile)
  The Nonconvex term may be misunderstood when appearing in Calculus of variations and  Optimization theory (and also in Differential inclusions) since one can believe that convexity does not appear at all. However, this is so because in an intermediate step our analysis relies on an associated problem which satisfies a standar convexity assumption. Thus, we can say that attached to our  original ``nonconvex problem'' there is a convex one which will lead finally to solve our original problem. Dealing with ``Generalized Convexity'' must be understood in this sense. It is along this vision that the contributions  of Professor Fabian Flores-Bazan are based, with particular interest in Multivalued complementarity and equilibrium  problems, scalar and vector  optimization. He hopes to continue in promoting the activities of the WGGC, and to organize streams/cluster sessions at international meetings on Mathematics or Applied Mathematics, especially in the South America region.
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• HADJISAVVAS Nicolas (Syros, Greece)
  N. Hadjisavvas starting working on Generalized Convexity-Generalized Monotonicity at the beginning of the nineties and since then focused his work almost exclusively on the subject. He organized and hosted the 6th International Symposium on Generalized Convexity (GC6) and the first International School on Generalized Convexity. He participated in the organization of GC7, GC8, GC9 and co-edited the proceedings of GC6 and GC7. He organized several clusters on GCGM in other conferences. He published (with S. Komlosi and S. Schaible) the Handbook on Generalized Convexity and Generalized Monotonicity. He served as chair of the WGGC (2003-2006). If elected, he will try to promote the subject through the organization of scientific meetings, interaction with other fields, and provide some additional services to the community through the WGGC website.
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• MORDUKHOVICH Boris (Detroit, Michigan, U.S.A.)
  I am honored to be nominated to the Scientific Committee of the Working Group on Generalized Convexity. For many years, my research has been related to this subject and related issues of variational analysis and optimization. I enjoy working in this area, to participate in the scientific events organized by this group, and to communicate and collaborate with nice people doing research in these directions. In particular, I gave a plenary talk at the WGGC conference in Hanoi (2002) and I am now editing a special issue of the Taiwanese Journal of Mathematics based on the talks presented at the last WGGC conference in Kaohsiung. If elected, I will do my best to further contribute into the research on Generalized Convexity and related topics, to participate in organizing conferences and special sessions as well as in editing special issues of first-rank journals devoted to these areas of research, and to support young researchers working in these fields of variational analysis and optimization.
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• PALES Zsolt (Debrecen, Hungary)
  After my graduation in 1980 and under the supervision of Professor Zoltan Daroczy, I started my research in the fields of functional equations and functional inequalities. In my first results relating the comparison and the characterizations of two and more variable means, various generalizations of the notion of convexity and separation theorems played crucial role. Since then these concepts have bee in the focus of my interest. Not only the applicability in the theory of means, but also the connection to convex and nonsmooth analysis and programming have influenced my research in the last two decades. A quick look at the list of my publications shows that I have several active projects where I cooperate with foreign researchers. To strenghten these scientific connections, I have organized several workshops, conferences and symposia in the fields of inequalities and functional equations. In the case I am elected to the SC of the WGGC, I would like to contribute to a more active exchange of ideas and to deepen and broaden the cooperation between various research groups of convexity and its applications.
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• SCHAIBLE Siegfried (Chung-Li, Taiwan R.O.C.)
  S.S. was the founding chair of WGGC and chair of WGGC for about half the time of its existence. Co-author of the first monograph on Generalized Convexity (with Avriel, Diewert, Zang), Co-editor of 3 proceedings of our international conferences (GC1, GC3, GC4), Author of an early monograph on Fractional Programming, Co-editor of the Handbook of Generalized Convexity/Monotonicity (with Hadjisavvas, Komlosi), Champion for expanding our group into Asia (e.g., GC7 in Vietnam, GC9 in Taiwan)." Adding Generalized Monotonicity to Generalized Convexity in WGGC. About 100 publications on Generalized Convexity, Fractional Programming and Generalized Monotonicity. Numerous session clusters on GC/GM at major international conferences. S.S. plans to become the editor of a newsletter for WGGC. In addition he wants to become champion for WGGC in Asia.
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• SHEU Ruey-Lin (Tainan, Taiwan R.O.C.)
  Fractional Programming has been my recent research area. Particularly, I work on algorithms for the generalized fractional programming and the sum-of-ratios problems. We have been
  (i) unifying old existing algorithms from the geometrical view;
  (ii) introducing new methodologies via stochastic methods, canonical duality, entropic regularization, etc;
  (iii) resolving difficult numerical issues, and
  (iv) finding new applications to, for instance, the wireless telecommunication network, and the train timetable perturbation problem.
  If elected, I will keep promoting the study of algorithms and applications for the generalized convexity, wishing to get more people interested and involved, and to get the GC group expanded.
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