Nonlinear Mean Ergodic Theorems for Semigroups in Hilbert Spaces

被引:0
|
作者
Seyit Temir
Ozlem Gul
机构
[1] Harran University,Department of Mathematics, Arts and Science Faculty
关键词
Hilbert Space; Differential Geometry; Computational Biology; Ergodic Theorem;
D O I
暂无
中图分类号
学科分类号
摘要
Let [inline-graphic not available: see fulltext] be a nonempty subset (not necessarily closed and convex) of a Hilbert space and let [inline-graphic not available: see fulltext] be a semigroup on [inline-graphic not available: see fulltext] and let [inline-graphic not available: see fulltext] be an almost orbit of [inline-graphic not available: see fulltext]. In this paper, we prove that every almost orbit of [inline-graphic not available: see fulltext] is almost weakly and strongly convergent to its asymptotic center.
引用
收藏
相关论文
共 50 条
  • [1] Nonlinear mean ergodic theorems for semigroups in Hilbert spaces
    Temir, Seyit
    Gul, Ozlem
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2007, 2007 (1)
  • [2] Nonlinear mean ergodic theorems for nonexpansive semigroups in Banach spaces
    Hiromichi Miyake
    Wataru Takahashi
    [J]. Journal of Fixed Point Theory and Applications, 2007, 2 : 369 - 382
  • [3] Nonlinear mean ergodic theorems for nonexpansive semigroups in Banach spaces
    Miyake, Hiromichi
    Takahashi, Wataru
    [J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2007, 2 (02) : 369 - 382
  • [4] NONLINEAR ERGODIC THEOREMS WITHOUT CONVEXITY FOR NONEXPANSIVE SEMIGROUPS IN HILBERT SPACES
    Atsushiba, Sachiko
    Takahashi, Wataru
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2013, 14 (02) : 209 - 219
  • [5] Nonlinear ergodic theorems for semigroups of non-Lipschitzian mappings in Hilbert spaces
    Miyadera, I
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2000, 4 (02): : 261 - 274
  • [6] Fixed point, convergence and nonlinear ergodic theorems for some semigroups in Hilbert spaces
    Hossein Piri
    Bayaz Daraby
    Asghar Rahimi
    Mostafa Ghasemi
    [J]. Journal of Fixed Point Theory and Applications, 2020, 22
  • [7] Fixed point, convergence and nonlinear ergodic theorems for some semigroups in Hilbert spaces
    Piri, Hossein
    Daraby, Bayaz
    Rahimi, Asghar
    Ghasemi, Mostafa
    [J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2020, 22 (01)
  • [8] FIXED POINT AND MEAN ERGODIC THEOREMS FOR NEW NONLINEAR MAPPINGS IN HILBERT SPACES
    Maruyama, Toru
    Takahashi, Wataru
    Yao, Masayuki
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2011, 12 (01) : 185 - 197
  • [9] A MEAN ERGODIC THEOREM FOR NONLINEAR SEMIGROUPS ON THE HILBERT BALL
    Kopecka, Eva
    Reich, Simeon
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2010, 11 (02) : 185 - 197
  • [10] FIXED POINT THEOREMS AND ERGODIC THEOREMS FOR NONLINEAR MAPPINGS IN HILBERT SPACES
    Takahashi, Wataru
    Yao, Jen-Chih
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2011, 15 (02): : 457 - 472