Kyushu University Academic Staff Educational and Research Activities Database
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Hidefumi KAWASAKI Last modified date:2019.04.29



Graduate School


E-Mail
Homepage
http://www2.math.kyushu-u.ac.jp/~kawasaki/index.htm
Research, Laboratory, Optimization seminar, Book, Lecture, Internship, Origami, Profile .
Phone
092-802-4454
Fax
092-802-4454
Academic Degree
Doctor of Science
Country of degree conferring institution (Overseas)
No
Field of Specialization
Optimization theory, Fixed point theory, Game theory, Origami Mathematics
Total Priod of education and research career in the foreign country
00years00months
Outline Activities
My research area is optimization. Especially, I've been making a research into second-order optimality conditions. The envelope-like effect that I discovered in 1988 is now standard in this area. That is, second-order optimality conditions had been described in terms of the first and second derivatives of the Lagrange function. I pointed out that we need an extra term besides the Lagrange function to give second-order optimality conditions for optimization problems if there is an infinite number of inequality constraints. As applications, I have been studying variational problems with equality and inequality state constraints, a minimization problem of a sup-type function, and Tchebycheff approximation problems. I was awarded the best paper prize of the Operations Research Society of Japan in 1992.
My latest research is on conjugate points in optimization. I proposed a conjugate point theory in optimization in 2000. Furthermore, a game-theoretic aspect of conjugate points was clarified.
Research
Research Interests
  • Sperner's lemma as an aspect of discrete fixed point theorems
    keyword : Sperner's lemma, discrete fixed point theorem, direction preserving condition
    2018.10~2019.10.
  • An application of discrete fixed point theorems to an game of expansive form.
    keyword : discrete fixed point theorem, game
    2016.10~2018.03.
  • flat-foldablity of twist fold
    keyword : origami mathematics, n-vertex fold, flat-foldability
    2015.10~2017.12.
  • Discrete separtion theorems for a finite number of L-convex sets
    keyword : discrete optimization, discrete separation theorem
    2015.04~2015.12.
  • A study on the convexity of L-convex functions
    keyword : L-convex function, convex function
    2014.04~2015.03.
  • Sperner's lemma and related topics
    keyword : Sperner's lemma, fixed point theorem, Hex
    2013.04~2014.06.
  • A discrete fixed point theorem for contraction mappings and its application to the game in expansive form.
    keyword : Discrete fixed point theorem, game in expansive form, Nash equilibrium
    2010.10~2011.10.
  • Discrete fixed point theorem and its application to the game theory
    keyword : Discrete fixed point theorem, Nash equilibrium, game theory
    2006.04~2011.03Discrete fixed point theorems and their application to the game theory.
  • Flat foldability of 1D origami
    keyword : Origami Mathematics, Flat folding, 1D origami
    2009.04~2011.03.
  • A duality theorem base on traiangles separating three convex sets.
    keyword : Duality theorem, Separation theorem
    2005.05~2009.03Duality theorems based on triangles separating three convex sets..
Current and Past Project
  • Cordinator of internship
Academic Activities
Books
1. Extremal problems.
Papers
1. H. Kawasaki, Duality theorem for a three-phase partition problem, J. of Optimization theory and its applications, 137, 1--10, 2008.04.
2. H. Kawasaki, A conjugate points theory for a nonlinear programming problem, SIAM J. Control Optim., 10.1137/S0363012900368831, 40, 1, 54-63, 40, No. 1, pp. 54--63, 2001.12.
3. H. Kawasaki, Conjugate points for a nonlinear programming
problem with constraints, J. Nonlinear Convex Anal., 1, No. 3, pp. 287--293, 2000.01.
4. H. Kawasaki and V. Zeidan, Conjugate points for variational problems with equality and inequality state constraints
SIAM J. Control Optim. 39, No. 2, pp. 433--456 (2000)., SIAM J. Control Optim., 10.1137/S0363012998345925, 39, 2, 433-456, 39, No. 2, pp. 433--456, 2000.01.
Membership in Academic Society
  • Research Association of Statistical Sciences
  • The Operations Research Society of Japan
  • Japan Society for Industrial and Applied Mathematics
  • The Mathematical Society of Japan
Educational
Educational Activities
Seminar:undergraduate students
Calculus
Internship
Other Educational Activities
  • 2017.08, Coordinated doctoral course students and mater course students with companies in the internship program .
  • 2016.07, Coordinated doctoral course students and mater course students with companies in the internship program .
  • 2015.09, Coordinated doctoral course students and mater course students with companies in the internship program.
  • 2014.09, Coordinated doctoral course students and mater course students with companies in the internship program.
  • 2013.09, Coordinated doctoral course students and mater course students with companies in the internship program .
  • 2012.09, Coordinated doctoral course students and mater course students with companies in the internship program.
  • 2011.10, Coordinated doctoral course students and mater course students with companies in the internship program.
  • 2010.06, Coordinated 9 doctoral course students and 6 mater course students with companies in the internship program.
  • 2009.08, Coordinated 6 mater course students with companies in the internship program.
  • 2008.05, Coordinated 6 Phd students with companies in the internship program.
  • 2007.05, Coordinated 9 Phd students with companies in the internship program.
  • 2006.05, Coordinated 9 Phd students with companies in the internship program.
Social
Professional and Outreach Activities
Coordinater of the internship program for Phd students
Orgaizer of the academic exchange program of Kyushu Uuiv. and Pukyoung National Univ (Korea, Pusan)
Lecturer of schooling of Hoso University (Geometry of Origami).