Iterative approximation of solutions of nonlinear equations of hammerstein type

C. E. Chidume, H. Zegeye

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

Suppose X is a real q-uniformly smooth Banach space and F,K: X - X with D(K) = F(X) = X are accretive maps. Under various continuity assumptions on F and K such that 0 = u + KFu has a solution, iterative methods which converge strongly to such a solution are constructed. No invertibility assumption is imposed on K and the operators K and F need not be defined on compact subsets of X. Our method of proof is of independent interest.

Original languageEnglish
Pages (from-to)353-365
Number of pages13
JournalAbstract and Applied Analysis
Volume2003
Issue number6
Publication statusPublished - Mar 26 2003

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Nonlinear equations
Nonlinear Equations
Q-uniformly Smooth Banach Spaces
Invertibility
Banach spaces
Approximation
Iterative methods
Converge
Iteration
Subset
Operator

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

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Iterative approximation of solutions of nonlinear equations of hammerstein type. / Chidume, C. E.; Zegeye, H.

In: Abstract and Applied Analysis, Vol. 2003, No. 6, 26.03.2003, p. 353-365.

Research output: Contribution to journalArticle

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