MANAKA Hiroko

Department of Science and Manufacturing TechnologyAssociate Professor

Research Keyword

  • Bregman projection methods in Banach spaces and optimization theory
  • Fixed Point Theory
  • Nonlinear Analysis
  • Bregman projection in Banach spaces

Field Of Study

  • Natural sciences, Mathematical analysis, Mathematical analysis

Career

  • Apr. 2022 - Present
    Nihon University Junior College, (Funabashi Campus) Department of Science and Manufacturing Technology, Associate Professor
  • Apr. 2016 - Mar. 2022
    Nihon University Junior College, (Funabashi Campus) Department of Science and Manufacturing Technology, Assistant Professor
  • Apr. 2012 - Mar. 2016
    日本大学理工学部, 非常勤講師
  • Apr. 2003 - Mar. 2016
    慶應義塾大学商学部, 非常勤講師
  • Oct. 1998 - Mar. 2016
    横浜国立大学理工学部, 非常勤講師
  • Apr. 1991 - Mar. 2016
    日本大学短期大学部, 非常勤講師
  • Oct. 1997 - Mar. 2009
    東京工業大学大学院情報科学科(数理計算機科学), 高橋渉研究室, 研究生
  • Apr. 1992 - Mar. 1998
    埼玉工業大学, 非常勤講師
  • Apr. 1991 - Mar. 1998
    建設省建設大学校, 非常勤講師
  • Apr. 1990 - Mar. 1992
    国際短期大学, 非常勤講師

Educational Background

  • 津田塾大学学芸学部数学科卒業
  • 慶應義塾大学大学院, 理工学研究科, 数理科学専攻
  • 津田塾大学大学院, 理学研究科, 数学
  • 東京都立国立高等学校

Paper

  • ★The Split Feasibility Problem with Some Projection Methods in Banach spaces
    Toshiharu Kawasaki and Hiroko Manaka
    Abstract and Applied Analysis, Dec. 2020, Refereed, Not invited
    Corresponding
  • Strong convergence theorems for a solution of split feasibility problem in Banach spaces
    Hiroko Manaka
    RIMS K^o ky^uroku 2274 Study on Nonlinear Analysis and Convex Analysis, Jan. 2024, Not refereed
    Lead
  • Convergence theorems of a pseudo-nenexpansive mapping and maximal monotone operator in a Banach space
    Hiroko Manaka
    京都大学数理解析研究所講究録 「非線形解析学と凸解析学の研究」, Sep. 2013, Not refereed, Not invited
    Lead
  • Convergence Theorems for Fixed Points with Iterative Methods in Banach Spaces
    Hiroko Manaka
    Thesis, Yokohama National Univercity, Mar. 2011, Refereed, Not invited
    Lead
  • Weak convergence theorems for maximal monotone operators with nonspreading mappings in a Hilbert space
    Hiroko Manaka; and Wataru Takahashi
    Cubo of Mathematical Journal, Mar. 2011, Refereed, Not invited
    Lead
  • Almost stability of iterative schemes involving a uniformly hemi-contractive set-valued mapping in a Banach space
    Hiroko Manaka
    Yokohama Mathematical Journal, Dec. 2010, Refereed, Not invited
    Lead
  • Convergence Theorems for a Maximal Monotone Operator and a V-Strongly Nonexpansive Mapping in a Banach Space
    Hiroko Manaka
    ABSTRACT AND APPLIED ANALYSIS, 2010, Refereed, Not invited
  • Convergence theorems and convergence rate estimates of iterative schemes involving \phi-strongly pseudo-contractive mappings in a Banach space
    Hiroko Manaka
    京都大学数理解析研究所講究録, Apr. 2009, Not refereed, Not invited
  • The convergence rate estimates of Mann iterative sequences involving \phi-strongly pseudocontractions in Banach spaces
    Hiroko Manaka; and Wataru Takahashi
    Yokohama Mathematical Journal, 2008, Refereed, Not invited
    Lead
  • Relation between equilibrium points for a differential inclusion and solutions of a variational inequality
    Hiroko Manaka
    京都大学数理解析研究所講究録、「RIM非加法の数理と情報」, Jun. 2007, Not refereed, Not invited
  • A note on Stevic's iteration method
    HM Tamura
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Feb. 2006, Refereed, Not invited
  • Regularization of nonlinear variational inequalities with pseudomonotone operators and Mosco perturbed domains
    Hiroko Manaka
    Proceedings of the international Conference, Nonlinear Analysis and Convex Analysis, Hirosaki, 2001, Refereed, Not invited
    Lead
  • Limit theorem related to an interface of three-dimensional Ising model
    Koji Kuroda; Hiroko Manaka
    Kobe Journal of Mathematics, Jun. 1998, Refereed, Not invited
  • THE INTERFACE OF THE ISING-MODEL AND THE BROWNIAN SHEET
    K KURODA; H MANAKA
    JOURNAL OF STATISTICAL PHYSICS, Jun. 1987, Refereed, Not invited

Books and other publications

  • 理工系 微分方程式=解き方から基礎理論への入門
    宇佐美; 斉藤; 原下; 眞中; 和田出, Joint work, 第1、2章, 宇佐美・斉藤・原下・眞中・和田出
    培風館, May 2017, Not refereed
    9784563011512

Lectures, oral presentations, etc.

  • Convergence Theorems with some projections in Banach spaces
    Hiroko Manaka
    日本数学会 秋季例会, Sep. 2023, Not invited
  • Strong convergence theorems for a solution of split feasibility problem in Banach spaces
    Hiroko Manaka
    Study on Nonlinear Analysis and Convex Analysis (Corporation of RIMS of Kyoto University), Aug. 2023, Not invited
  • The split feasibility problem with some projections in Banach spaces
    Hiroko Manaka
    日本数学会, Mar. 2020, Japan Mathematical Society, Not invited
  • A note on Leray-Schauder's boundary condition for an elastic nonlinear mapping characterized by Lyapunov's function in Banach spaces
    Hiroko Manaka
    International Conference on Nonlinear Analysis and Convex Analysis-International Conference on Optimization Techniques and Applications, Aug. 2019, Invited
  • Results with respect to fixed point theorems of an elastic nonlinear mapping in Banach spaces.
    Hiroko Manaka
    日本数学会(春季), Mar. 2019, 日本数学会, Not invited
  • Results with respect to fixed point theorems of an elastic nonlinear mapping in Banach spaces.
    Hiroko Manaka
    The 6th Asian Conference on Nonlinear Analysis and Optimization., Nov. 2018, Wataru Takahashi, Invited
  • An Elastic Nonlinear Mapping in Banach Spaces and Fixed Point Theorems
    Hiroko Manaka
    The XI Americas Conference on Differential Equations and Nonlinear Analysis, Aug. 2017, Not invited
  • Fixed Point Theory for an Elastic Nonlinear Mapping in Banach Spaces
    Hiroko Manaka
    International Conference on Nonlinear Analysis and Convex Analysis, Jul. 2017, Not invited
  • Fixed point theorems for an elastic nonlinear mapping in Banach spaces
    Hiroko Manaka
    日本数学会, Mar. 2016, 日本数学会, Not invited
  • On boundary conditions for fixed point theorems of a nonlinear mapping in a Banach space
    Hiroko Manaka
    The international conference on Nonlinear Analysis and Optimization, Dec. 2013, Not invited
  • Fixed point theorems for a pseudo-nonexpansive mapping
    Hiroko Manaka
    The international conference on the Theory, Methods and Applications of Nonlinear Equations, Dec. 2012, Not invited
  • Convergence theorems of a pseudo-nonexpansive mapping and maximal monotone operator in a Banach space
    Hiroko Manaka
    Nonlinear analysis and convex analysis, Aug. 2011, 京都大学数理解析研究所 RIMS研究集会, Not invited
  • Convergence theorems for a maximal monotone operator and nonspreasing mappings in a Hilbert space
    Hiroko Manaka
    International conference of nonlinear analysis and convex analysis, Mar. 2009, Not invited
  • Convergence rate estimates of iterative schemes involving \phi-strongly pseudocontractive mappings
    Hiroko Manaka
    International Conference on Fixed Point Theory and Applications, Jul. 2007, Invited
  • Stability of iterative schemes with \phi-strongly pseudocontractive mappings in a Banach space
    Hiroko Manaka
    International Conference on Nonlinear Analysis and Convex Analysis, Jul. 2006, Not invited
  • Relation between equilibrium points for a differential inclusion and solutions of a variational inequality
    Hiroko Manaka
    非加法の数理と情報(関数解析の視点から), Jul. 2006, RIMS研究集会, Not invited
  • Almost Stability of iterative schea Banach space mes in
    Hiroko Manaka
    International Congress of Nonlinear Analysis, Jul. 2004, Not invited
  • Regularization of nonlinear variational inequalities with pseudomonotone operators and Mosco perturbed domains
    Hiroko Manaka
    International Conference of Nonlinear Analysis and Convex Analysis, Jul. 2001, Not invited
  • Regularization of nonlinear variational inequalities with Mosco perturbed domains
    Hiroko Manaka
    International Congress of Nonlinear Analysis, Jul. 2000, Not invited

Courses

  • 解析学基礎論
    日本大学短期大学部
  • 多変量解析
    日本大学短期大学部
  • 数学通論 I~IV
    日本大学短期大学部
  • 物理学
    国際短期大学
  • 微分積分学
    慶應義塾大学商学部、埼玉工業大学、日本大学短期大学部、
  • 線形代数
    横浜国立大学経営学部、慶應義塾大学商学部、日本大学短期大学部
  • 確率統計、数理統計
    建設省建設大学校、日本大学理工学部、埼玉工業大学、日本大学短期大学部、国際短期大学
  • 応用数学
    横浜国立大学理工学部
  • 微分方程式
    横浜国立大学理工学部、日本大学短期大学部

Affiliated academic society

  • 日本数学会