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Publication Cover
Applicable Analysis
An International Journal
Volume 86, 2007 - Issue 3
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Original Articles

Strong convergence theorems for common fixed points of uniformly L-Lipschitzian pseudocontractive semi-groups

C. E. Chidume The Abdus Salam International Centre for Theoretical Physics, Trieste, ItalyCorrespondence[email protected]
&
H. Zegeye The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy
Pages 353-366 | Received 09 Jan 2005, Published online: 13 Apr 2007

References

  • Browder , FE . 1967 . Convergence of approximates to fixed points of nonexpansive non-linear mappings in Banach spaces. . Archives of Rational Mechanics and Analysis , 24 : 82 – 90 .
  • Chidume , CE and Zegeye , H . 2004 . Approximate fixed point sequences and convergence theorems for Lipschitz pseudocontractive maps . Proceedings of American Mathematical Society , 132 : 831 – 840 .
  • Cioranescu , I . 1996 . Geometry of Banach Spaces, Duality Mappings and Nonlinear Problems , Dordrecht : Kluwer Academic Publishers .
  • Martin Jr , RH . 1973 . Differential equations on closed subsets of a Banach space. . Transactions of American Mathematical Society , 179 : 399 – 414 .
  • Moore , C and Nnoli , BVC . 2001 . Iterative solution of nonlinear equations involving set-valued uniformly accretive operators. . Computers and Mathematical Applications , 42 : 131 – 140 .
  • Morales , CH and Jung , JS . 2000 . Convergence of paths for pseudo-contractive mappings in Banach spaces. . Proceedings of American Mathematical Society , 128 : 3411 – 3419 .
  • Reich , S . 1980 . Strong convergence theorems for resolvents of accretive operators in Banach spaces. . Journal of Mathematical Analysis and Applications , 75 : 287 – 292 .
  • Shioji , N and Takahashi , W . 1998 . Strong convergence theorems for asymptotically nonexpansive semi-groups in Hilbert spaces. . Nonlinear Analysis , 34 : 87 – 99 .
  • Suzuki , T . 2003 . On strong convergence to common fixed points of nonexpansive semi-groups in Banach spaces. . Proceedings of American Mathematical Society , 131 : 2133 – 2136 .
  • Takahashi , W . Nonlinear Functional Analysis (Japanese) , Tokyo : Kindikagaku .
  • Takahashi , W and Ueda , Y . 1984 . On Reich's strong convergence theorems for resolvents of accretive operators. . Journal of Mathematical Analysis and Applications , 104 : 546 – 553 .
  • Xu , HK . 1991 . Inequalities in Banach spaces with applications. . Nonlinear Analysis TMA , 16 : 1127 – 1138 .
  • Xu , HK . 2002 . Iterative algorithms for nonlinear operators. . Journal of London Mathematical Society , 2 : 1 – 7 .

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