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2008 Fiscal Year Final Research Report

Fixed point theory and its applications

Research Project

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Project/Area Number 18740075
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Basic analysis
Research InstitutionKyushu Institute of Technology

Principal Investigator

SUZUKI Tomonari  Kyushu Institute of Technology, 大学院・工学研究院, 准教授 (00303173)

Project Period (FY) 2006 – 2008
Keywords実解析
Research Abstract

この研究期間の3年間、距離空間における不動点定理、非拡大写像に対する収束定理、非拡大半群に関する不動点定理を改良することに成功した。多くの研究成果を得ることができたが、特に、論文番号10の非拡大半群に関する不動点定理は、国内外の研究者に好評であった。

  • Research Products

    (37 results)

All 2008 2007 2006 Other

All Journal Article (29 results) (of which Peer Reviewed: 29 results) Presentation (8 results)

  • [Journal Article] Some similarity between contractions and Kannan mappings2008

    • Author(s)
      M. Kikkawa and T. Suzuki
    • Journal Title

      Fixed Point Theory and Applications 2008

      Pages: Article ID 649749,1-8

    • Peer Reviewed
  • [Journal Article] w-distances and tau-distances2008

    • Author(s)
      T. Suzuki
    • Journal Title

      Nonlinear Functional Analysis and Applications 13

      Pages: 15-27

    • Peer Reviewed
  • [Journal Article] Mizoguchi-Takahashi's fixed point theorem is a real generalization of Nadler's2008

    • Author(s)
      T. Suzuki
    • Journal Title

      Journal of Mathematical Analysis and Applications 340

      Pages: 752-755

    • Peer Reviewed
  • [Journal Article] Fixed point theorems and convergence theorems for some generalized nonexpansive mappings2008

    • Author(s)
      T. Suzuki
    • Journal Title

      Journal of Mathematical Analysis and Applications 340

      Pages: 1088-1095

    • Peer Reviewed
  • [Journal Article] On the relation between the weak Palais-Smale condition and coercivity given by Zhong2008

    • Author(s)
      T. Suzuki
    • Journal Title

      Nonlinear Analysis, Theory, Methods & Applications 68

      Pages: 2471-2478

    • Peer Reviewed
  • [Journal Article] A generalized Banach contraction principle that characterizes metric completeness2008

    • Author(s)
      T. Suzuki
    • Journal Title

      Proceedings of the American Mathematical Society 136

      Pages: 1861-1869

    • Peer Reviewed
  • [Journal Article] Mosco convergence of the sets of fixed points for one-parameter nonexpansive semigroups2008

    • Author(s)
      T. Suzuki
    • Journal Title

      Nonlinear Analysis, Theory, Methods & Applications 68

      Pages: 3870-3878

    • Peer Reviewed
  • [Journal Article] On the calculation of the James constant of Lorentz sequence spaces2008

    • Author(s)
      K. Mitani, K. -S. Saito and T. Suzuki
    • Journal Title

      Journal of Mathematical Analysis and Applications 343

      Pages: 310-314

    • Peer Reviewed
  • [Journal Article] Three fixed point theorems for generalized contractions with constants in complete metric spaces2008

    • Author(s)
      M. Kikkawa and T. Suzuki
    • Journal Title

      Nonlinear Analysis, Theory, Methods & Applications 69

      Pages: 2942-2949

    • Peer Reviewed
  • [Journal Article] A sufficient and necessary condition for the convergence of the sequence of successive approximations to a unique fixed point2008

    • Author(s)
      T. Suzuki
    • Journal Title

      Proceedings of the American Mathematical Society 136

      Pages: 4089-4093

    • Peer Reviewed
  • [Journal Article] Best proximity points for cyclic Meir-Keeler contractions2008

    • Author(s)
      C. Di Bari, T. Suzuki and C. Vetro
    • Journal Title

      Nonlinear Analysis, Theory, Methods & Applications 69

      Pages: 3790-3794

    • Peer Reviewed
  • [Journal Article] Browder convergence and Mosco convergence for families of nonexpansive mappings2008

    • Author(s)
      T. Suzuki
    • Journal Title

      Cubo A Mathematical Journal 10

      Pages: 101-108

    • Peer Reviewed
  • [Journal Article] Moudafi's viscosity approximations with Meir-Keeler contractions2007

    • Author(s)
      T. Suzuki
    • Journal Title

      Journal of Mathematical Analysis and Applications 325

      Pages: 342-352

    • Peer Reviewed
  • [Journal Article] A sufficient and necessary condition for Halpern-type strong convergence to fixed points of nonexpansive mappings2007

    • Author(s)
      T. Suzuki
    • Journal Title

      Proceedings of the American Mathematical Society 135

      Pages: 99-106

    • Peer Reviewed
  • [Journal Article] Browder's type convergence theorems for one-parameter semigroups of nonexpansive mappings in Banach spaces2007

    • Author(s)
      T. Suzuki
    • Journal Title

      Israel Journal of Mathematics 157

      Pages: 239-257

    • Peer Reviewed
  • [Journal Article] Meir-Keeler contractions of integral type are still Meir-Keeler contractions2007

    • Author(s)
      T. Suzuki
    • Journal Title

      International Journal of Mathematics and Mathematical Sciences 2007

      Pages: Article ID 39281,1-6

    • Peer Reviewed
  • [Journal Article] Fixed point theorems for more generalized contractions in complete metric spaces2007

    • Author(s)
      T. Suzuki
    • Journal Title

      Demonstratio Mathematica 40

      Pages: 219-227

    • Peer Reviewed
  • [Journal Article] Some notes on Bauschke's condition2007

    • Author(s)
      T. Suzuki
    • Journal Title

      Nonlinear Analysis, Theory, Methods & Applications 67

      Pages: 2224-2231

    • Peer Reviewed
  • [Journal Article] A definitive result on asymptotic contractions2007

    • Author(s)
      T. Suzuki
    • Journal Title

      Journal of Mathematical Analysis and Applications 335

      Pages: 707-715

    • Peer Reviewed
  • [Journal Article] The set of common fixed points of a one-parameter continuous semigroup of nonexpansive mappings is F(frac12 T(1) + frac12 T(sqrt2)) in strictly convex Banach spaces2006

    • Author(s)
      T. Suzuki
    • Journal Title

      Taiwanese Journal of Mathematics 10

      Pages: 381-397

    • Peer Reviewed
  • [Journal Article] The set of common fixed points of a one-parameter continuous semigroup of mappings is F(T(1)) cap F(T(sqrt2))2006

    • Author(s)
      T. Suzuki
    • Journal Title

      Proceedings of the American Mathematical Society 134

      Pages: 673-681

    • Peer Reviewed
  • [Journal Article] Fixed point theorem for asymptotic contractions of Meir-Keeler type in complete metric spaces2006

    • Author(s)
      T. Suzuki
    • Journal Title

      Nonlinear Analysis, Theory, Methods & Applications 64

      Pages: 971-978

    • Peer Reviewed
  • [Journal Article] Common fixed points of one-parameter nonexpansive semigroups in strictly convex Banach spaces2006

    • Author(s)
      T. Suzuki
    • Journal Title

      Abstract and Applied Analysis 2006

      Pages: Article ID 58684, 1-10

    • Peer Reviewed
  • [Journal Article] Browder's type strong convergence theorems for infinite families of nonexpansive mappings in Banach spaces2006

    • Author(s)
      T. Suzuki
    • Journal Title

      Fixed Point Theory and Applications 2006

      Pages: Article ID 59692, 1-16

    • Peer Reviewed
  • [Journal Article] Lou's fixed point theorem in a space of continuous mappings2006

    • Author(s)
      T. Suzuki
    • Journal Title

      Journal of the Mathematical Society of Japan 58

      Pages: 769-774

    • Peer Reviewed
  • [Journal Article] The strong Ekeland variational principle2006

    • Author(s)
      T. Suzuki
    • Journal Title

      Journal of Mathematical Analysis and Applications 320

      Pages: 787-794

    • Peer Reviewed
  • [Journal Article] Common fixed points of two commuting mappings in complete metric spaces2006

    • Author(s)
      T. Suzuki, R. Saadati and D. O'Regan
    • Journal Title

      Bulletin of the Iranian Mathematical Society 32

      Pages: 53-66

    • Peer Reviewed
  • [Journal Article] Characterizations of common fixed points of one-parameter nonexpansive semigroups, and convergence theorems to common fixed points2006

    • Author(s)
      T. Suzuki
    • Journal Title

      Journal of Mathematical Analysis and Applications 324

      Pages: 1006-1019

    • Peer Reviewed
  • [Journal Article] Common fixed points of one-parameter nonexpansive semigroups2006

    • Author(s)
      T. Suzuki
    • Journal Title

      The Bulletin of the London Mathematical Society 38

      Pages: 1009-1018

    • Peer Reviewed
  • [Presentation] Recent results concerning common fixed points of one-parameter nonexpansive semigroups

    • Author(s)
      T. Suzuki
    • Organizer
      The Second International Symposium on Banach and Function Spaces 2006(ISBFS 2006)
  • [Presentation] 非拡大半群の共通不動点に関する最近の結果

    • Author(s)
      T. Suzuki
    • Organizer
      日本数学会秋季総合分科会
  • [Presentation] 非拡大半群の共通不動点に関する最近の結果

    • Author(s)
      T. Suzuki
    • Organizer
      日本数学会秋季総合分科会
  • [Presentation] Recent results concerning fixed point sets for nonexpansive semigroups

    • Author(s)
      T. Suzuki
    • Organizer
      The 8th International Conference on Fixed Point Theory and its Applications(ICFPTA 2007)
  • [Presentation] 非拡大半群等の不動点に関するここ4年間の結果

    • Author(s)
      T. Suzuki
    • Organizer
      日本数学会秋季総合分科会
  • [Presentation] 非拡大写像が不動点を持つことvs非拡大半群が共通不動点持つこと

    • Author(s)
      T. Suzuki
    • Organizer
      日本数学会秋季総合分科会
  • [Presentation] Generalizations of Kannan's fixed point theorem

    • Author(s)
      M. Nakanishi and T. Suzuki
    • Organizer
      The Sixth International Conference on Nonlinear Analysis and Convex Analysis(NACA 2009)
  • [Presentation] Halpern's convergence for nonexpansive mappings

    • Author(s)
      T. Suzuki
    • Organizer
      The Sixth International Conference on Nonlinear Analysis and Convex Analysis(NACA 2009)

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Published: 2010-06-10   Modified: 2016-04-21  

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