Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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A NOTE ON APPROXIMATION OF SOLUTIONS OF A K-POSITIVE DEFINITE OPERATOR EQUATIONS

  • Osilike, M.O. (DEPARTMENT OF MATHEMATICS, UNIVERSITY OF NIGERIA) ;
  • Udomene, A. (DEPARTMENT OF MATHEMATICS, UNIVERSITY OF NIGERIA)
  • Published : 2001.05.01
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Abstract

In this note we construct a sequence of Picard iterates suitable for the approximation of solutions of K-positive definite operator equations in arbitrary real Banach spaces. Explicit error estimate is obtained and convergence is shown to be as fast as a geometric progression.

Keywords

References

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