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Original Articles

Semi-numerical Approximation Structures for Nonlinear Noncompact Operators in Banach Spaces

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Pages 725-746 | Published online: 07 Feb 2007

References

  • Browder , F. E. and Petryshyn , W. V. 1968 . The topological degree and Galerkin approximations for noncompact operators in Banach spaces . Bull. Amer. Math. Soc. , 74 : 641 – 646 .
  • Browder , F. E. and Petryshyn , W. V. 1969 . Approximation methods and the generalized topological degree for nonlinear mappings in Banach spaces . J. Funct. Anal. , 3 : 217 – 245 .
  • Deimling , K. 1985 . Nonlinear Functional Analysis . Berlin-Heidelberg-New York: Springer-Verlag , : 1 – 45 .
  • Lloyd , N. G. 1978 . Degree theory . Cambridge Tracs. Math. , Vol. 73 : 72 – 88 .
  • Petryshyn , W. V. 1975a . Fredholm alternatives for nonlinear A-proper mappings with applications to nonlinear elliptic boundary value problems . J. Funct. Anal , 18 : 288 – 317 .
  • Petryshyn , W. V. 1975b . On the approximation-solvability of equations involving A-proper and pseudo A-proper mappings . Bull. Amer. Math. Soc. , 81 : 223 – 312 .
  • Petryshyn , W. V. 1993 . Approximation-Solvability of Nonlinear Functional and Differential Equations . New York-Basel-Hong Kong: Marcel Dekker, Inc. , : 30 – 41 .
  • Singer , I. 1981 . Bases in Banach spaces II . Berlin-Heidelberg-New York: Springer-Verlag , : 88 – 97 .

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