On the set of common fixed points of semigroups of nonlinear mappings in modular function spaces

[1]  Simeon Reich,et al.  Fixed Point Theory in Modular Function Spaces , 2015 .

[2]  W. Kozlowski.  On Nonlinear Differential Equations in Generalized Musielak-Orlicz Spaces , 2013 .

[3]  W. Kozlowski.  Pointwise Lipschitzian mappings in uniformly convex and uniformly smooth Banach spaces , 2013 .

[4]  W. Kozlowski.  Advancements in fixed point theory in modular function spaces , 2012 .

[5]  B. B. Dehaish,et al.  Fixed point iteration processes for asymptotic pointwise nonexpansive mapping in modular function spaces , 2012 .

[6]  W. Kozlowski.  COMMON FIXED POINTS FOR SEMIGROUPS OF POINTWISE LIPSCHITZIAN MAPPINGS IN BANACH SPACES , 2011, Bulletin of the Australian Mathematical Society.

[7]  W. M. Kozlowski,et al.  On asymptotic pointwise nonexpansive mappings in modular function spaces , 2011 .

[8]  W. M. Kozlowski.  Fixed point iteration processes for asymptotic pointwise nonexpansive mappings in Banach spaces , 2011 .

[9]  W. M. Kozlowski,et al.  On asymptotic pointwise contractions in modular function spaces , 2010 .

[10]  Nawab Hussain,et al.  On asymptotic pointwise contractions in metric spaces , 2009 .

[11]  G. Lewicki,et al.  On some algorithms in Banach spaces finding fixed points of nonlinear mappings , 2009 .

[12]  William A. Kirk,et al.  Asymptotic pointwise contractions , 2008 .

[13]  Tomonari Suzuki.  Common Fixed Points of One‐Parameter Nonexpansive Semigroups , 2006 .

[14]  Tomonari Suzuki.  THE SET OF COMMON FIXED POINTS OF A ONE-PARAMETER CONTINUOUS SEMIGROUP OF NONEXPANSIVE MAPPINGS IS $F(\frac{1}{2} T(1) + \frac{1}{2} T(\sqrt{2}))$ IN STRICTLY CONVEX BANACH SPACES , 2006 .

[15]  Tomonari Suzuki.  The set of common fixed points of a one-parameter continuous semigroup of mappings is \big((1)\big)∩\big((√2)\big) , 2005 .

[16]  Jigen Peng,et al.  A novel dual approach to nonlinear semigroups of Lipschitz operators , 2004 .

[17]  M. Khamsi.  ON ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN HYPERCONVEX METRIC SPACES , 2003 .

[18]  I. Miyadera.  Nonlinear Ergodic Theorems for Semigroups of Non-Lipschitzian Mappings in Banach Spaces II , 2002 .

[19]  Muhammad Aslam Noor,et al.  Fixed-point iterations for asymptotically nonexpansive mappings in Banach spaces , 2002 .

[20]  M. Khamsi,et al.  Asymptotically nonexpansive mappings in modular function spaces , 2002 .

[21]  Mohamed A. Khamsi,et al.  Uniformly Lipschitzian mappings in modular function spaces , 2001 .

[22]  S. Reich,et al.  A mean ergodic theorem for mappings which are asymptotically nonexpansive in the intermediate sense , 2001 .

[23]  M. Khamsi,et al.  Asymptotically regular mappings in modular function spaces , 2001 .

[24]  S. Reich,et al.  Weak convergence theorems for asymptotically nonexpansive mappings and semigroups , 2001 .

[25]  Simeon Reich,et al.  A Mean Ergodic Theorem for Nonlinear Semigroups which are Asymptotically Nonexpansive in the Intermediate Sense , 2000 .

[26]  M. Khamsi,et al.  A CONVEXITY PROPERTY IN MODULAR FUNCTION SPACES , 1996 .

[27]  B. Rhoades,et al.  Fixed Point Iterations for Certain Nonlinear Mappings , 1994 .

[28]  Hong-Kun Xu,et al.  Fixed point iteration processes for asymptotically nonexpansive mappings , 1994 .

[29]  Hong-Kun Xu,et al.  Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process , 1993 .

[30]  Hong-Kun Xu,et al.  An ergodic theorem for nonlinear semigroups of Lipschitzian mappings in Banach spaces , 1992 .

[31]  Jürgen Schu,et al.  Iterative construction of fixed points of asymptotically nonexpansive mappings , 1991 .

[32]  Hong-Kun Xu,et al.  Existence and convergence for fixed points of mappings of asymptotically nonexpansive type , 1991 .

[33]  W. M. Kozlowski,et al.  Some Geometrical Properties and Fixed Point Theorems in Orlicz Spaces , 1991 .

[34]  J. Schu,et al.  Weak and strong convergence to fixed points of asymptotically nonexpansive mappings , 1991, Bulletin of the Australian Mathematical Society.

[35]  Julian Musielak,et al.  Orlicz Spaces and Modular Spaces , 1983 .

[36]  Elliott H. Lieb,et al.  A Relation Between Pointwise Convergence of Functions and Convergence of Functionals , 1983 .

[37]  Simeon Reich,et al.  A note on the mean ergodic theorem for nonlinear semigroups , 1983 .

[38]  Gregory B. Passty.  Construction of fixed points for asymptotically nonexpansive mappings , 1982 .

[39]  S. Reich.  Weak convergence theorems for nonexpansive mappings in Banach spaces , 1979 .

[40]  S. C. Bose,et al.  Weak convergence to the fixed point of an asymptotically nonexpansive map , 1978 .

[41]  S. Reich.  Fixed point iterations of nonexpansive mappings , 1975 .

[42]  Teck-Cheong Lim,et al.  A fixed point theorem for families on nonexpansive mappings. , 1974 .

[43]  Ronald E. Bruck.  A COMMON FIXED POINT THEOREM FOR A COMMUTING FAMILY OF NONEXPANSIVE MAPPINGS , 1974 .

[44]  Kiyoshi Iseki,et al.  On common fixed points of mappings , 1974, Bulletin of the Australian Mathematical Society.

[45]  Tosio Kato,et al.  Nonlinear semigroups and evolution equations , 1967 .

[46]  W. A. Kirk,et al.  Nonexpansive mappings and fixed-points in Banach spaces , 1967 .

[47]  W. A. Kirk,et al.  Fixed-point theorems for families of contraction mappings. , 1966 .

[48]  F. Browder,et al.  NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE. , 1965, Proceedings of the National Academy of Sciences of the United States of America.

[49]  R. Demarr,et al.  Common fixed points for commuting contraction mappings , 1963 .

[50]  W. R. Mann,et al.  Mean value methods in iteration , 1953 .

[51]  B. Sims,et al.  On the Convergence of Iteration Processes for Semigroups of Nonlinear Mappings in Banach Spaces , 2013 .

[52]  W. M. Kozlowski.  On the construction of common fixed points for semigroups of nonlinear mappings in uniformly convex and uniformly smooth Banach spaces , 2012 .

[53]  W. M. Kozlowski.  On the Existence of Common Fixed Points for Semigroups of Nonlinear Mappings in Modular Function Spaces , 2011 .

[54]  Vyacheslav V. Chistyakov,et al.  Modular metric spaces, I: Basic concepts , 2010 .

[55]  Vyacheslav V. Chistyakov,et al.  Modular metric spaces, II: Application to superposition operators , 2010 .

[56]  M. Khamsi,et al.  Nonlinear Semigroups in Modular Function Spaces , 2004 .

[57]  A. Ait Taleb,et al.  A fixed point theorem and its application to integral equations in modular function spaces , 1999 .

[58]  Jigen Peng,et al.  Laplace transforms and generators of semigroups of operators , 1998 .

[59]  Shutao Chen.  Geometry of orlicz spaces , 1996 .

[60]  Simeon Reich,et al.  Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial property , 1993 .

[61]  Jarosław Górnicki,et al.  Weak convergence theorems for asymptotically nonexpansive mappings in uniformly convex Banach spaces , 1989 .

[62]  Mohamed A. Khamsi,et al.  Modular function spaces , 1988 .

[63]  W. M. Kozlowski.  Notes on modular function spaces. II , 1988 .

[64]  A. Kamińska.  On uniform convexity of Orlicz spaces , 1982 .

[65]  S. Ishikawa.  Fixed points by a new iteration method , 1974 .

[66]  S. Ôharu.  Note on the representation of semi-groups of non-linear operators , 1966 .