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Research Output 1981 2017

  • 252 Citations
  • 7 h-Index
  • 21 Article
  • 1 Chapter
  • 1 Conference contribution
  • 1 Comment/debate
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Article
2017

A discrete fixed point theorem utilizing the direction preserving condition

Kawasaki, H. & Hashiyama, S., 2017, In : Journal of Nonlinear and Convex Analysis. 18, 8, p. 1535-1545 11 p.

Research output: Contribution to journalArticle

Fixed point theorem
Decomposition
Decompose
Brouwer Fixed Point Theorem
Arbitrary

An application of a theorem of alternatives to origami

Kawasaki, H., Jul 1 2017, In : Journal of the Operations Research Society of Japan. 60, 3, p. 393-399 7 p.

Research output: Contribution to journalArticle

Duality
Mathematics
Twist

Dynamic dualization in a general setting

Kawasaki, H., Apr 1 2017, In : Journal of the Operations Research Society of Japan. 60, 2, p. 44-49 6 p.

Research output: Contribution to journalArticle

Objective function
Dual problem
Convolution
Duality
Optimization problem
2015
1 Citation (Scopus)

A comparison of discrete fixed point theorems via a bimatrix game

Kawasaki, H., 2015, In : Journal of Nonlinear and Convex Analysis. 16, 8, p. 1501-1510 10 p.

Research output: Contribution to journalArticle

Bimatrix Games
Fixed point theorem
Brouwer Fixed Point Theorem
Monotone Mapping
Contraction Mapping
2013
4 Citations (Scopus)

An application of a discrete fixed point theorem to a game in expansive form

Kawasaki, H., Kira, A. & Kira, S., Jun 1 2013, In : Asia-Pacific Journal of Operational Research. 30, 3, 1340013.

Research output: Contribution to journalArticle

Fixed point theorem
Contraction mapping
Pure strategy Nash equilibrium
Integer
2009
6 Citations (Scopus)

Discrete fixed point theorems and their application to Nash equilibrium

Sato, J. I. & Kawasaki, H., Jan 1 2009, In : Unknown Journal. 13, 2 A, p. 431-440 10 p.

Research output: Contribution to journalArticle

Bimatrix Games
Nash Equilibrium
Existence Theorem
Monotonicity
Fixed point theorem
2008
1 Citation (Scopus)

Duality theorem for a three-phase partition problem

Kawasaki, H., Apr 1 2008, In : Journal of Optimization Theory and Applications. 137, 1, p. 1-10 10 p.

Research output: Contribution to journalArticle

Duality Theorems
Partition
Minimal Solution
Binary trees
Binary Tree
2003
Conjugate points
Extremal Problems
Tridiagonal matrix
Nonlinear programming
Nonlinear Programming
2002
6 Citations (Scopus)

A conjugate points theory for a nonlinear programming problem

Kawasaki, H., 2002, In : SIAM Journal on Control and Optimization. 40, 1, p. 54-63 10 p.

Research output: Contribution to journalArticle

Conjugate points
Nonlinear programming
Nonlinear Programming
Jacobi Equation
Necessary and Sufficient Optimality Conditions
2001

A conjugate point theory for nonlinear programming problems

Kawasaki, H., 2001, In : Unknown Journal. 4, p. 3558-3563 6 p.

Research output: Contribution to journalArticle

Nonlinear programming

Conjugate points for calculus of variations with inequality state constraints

Kawasaki, H. & Zeidan, V., 2001, In : Unknown Journal. 4, p. 3552-3557 6 p.

Research output: Contribution to journalArticle

Accessories
effect
2000
6 Citations (Scopus)

Conjugate points for variational problems with equality and inequality state constraints

Kawasaki, H. & Zeidan, V., Dec 1 2000, In : SIAM Journal on Control and Optimization. 39, 2, p. 433-456 24 p.

Research output: Contribution to journalArticle

Conjugate points
State Constraints
Accessories
Inequality Constraints
Variational Problem
1992
18 Citations (Scopus)

Second-order necessary and sufficient optimality conditions for minimizing a sup-type function

Kawasaki, H., Sep 1 1992, In : Applied Mathematics & Optimization. 26, 2, p. 195-220 26 p.

Research output: Contribution to journalArticle

Necessary and Sufficient Optimality Conditions
Second-order Optimality Conditions
Second derivative
Derivatives
Term
1990
11 Citations (Scopus)

Second order necessary optimality conditions for minimizing a sup-type function

Kawasaki, H., Dec 1990, In : Mathematical Programming. 49, 2, p. 213-229 17 p.

Research output: Contribution to journalArticle

Second-order Optimality Conditions
Necessary Optimality Conditions
Second derivative
Derivatives
Directional derivative
15 Citations (Scopus)

Second order necessary optimality conditions for minimizing a sup-type function

Kawasaki, H., Nov 1 1990, In : Mathematical Programming. 49, 1-3, p. 213-229 17 p.

Research output: Contribution to journalArticle

Second-order Optimality Conditions
Necessary Optimality Conditions
Second derivative
Derivatives
Directional derivative
1988
95 Citations (Scopus)
Second-order Necessary Conditions
Inequality Constraints
Minimization Problem
Envelope
Second derivative
31 Citations (Scopus)
Second-order Necessary Conditions
Constraint Qualifications
Nonlinear programming
Equality Constraints
Inequality Constraints
3 Citations (Scopus)

The upper and lower second order directional derivatives of a sup-type function

Kawasaki, H., May 1 1988, In : Mathematical Programming. 41, 1-3, p. 327-339 13 p.

Research output: Contribution to journalArticle

Directional derivative
Second-order Derivatives
Derivatives
Second derivative
Compact Set
20 Citations (Scopus)

UPPER AND LOWER SECOND ORDER DIRECTIONAL DERIVATIVES OF A SUP-TYPE FUNCTION.

Kawasaki, H., Sep 1988, In : Mathematical Programming. 41, 3, p. 327-339 13 p.

Research output: Contribution to journalArticle

Braces
Directional derivative
Second-order Derivatives
Compact Set
Metric space
1982
24 Citations (Scopus)

DUALITY THEOREM IN MULTIOBJECTIVE NONLINEAR PROGRAMMING.

Kawasaki, H., Jan 1 1982, In : Mathematics of Operations Research. 7, 1, p. 95-110 16 p.

Research output: Contribution to journalArticle

Conjugate set
Conjugate functions
Set-valued Function
Multiobjective Programming
Duality Theorems
1981
7 Citations (Scopus)

CONJUGATE RELATIONS AND WEAK SUBDIFFERENTIALS OF RELATIONS.

Kawasaki, H., Jan 1 1981, In : Mathematics of Operations Research. 6, 4, p. 593-607 15 p.

Research output: Contribution to journalArticle

Subdifferential
Set-valued Function
Convex Program
Duality Theory
Concepts