Approximation of the zeros of m-accretive operators

C. E. Chidume, Habtu Zegeye

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

A theorem which gives a necessary and sufficient condition for the strong convergence of the semigroup generated by an m-accretive operator defined on the whole Banach space E and of the steepest descent approximation process to a zero of a quasi-accretive operator A in Banach spaces is presented. The theorem states that the sequence generated by the steepest descent approximation process converges hyperstrongly to the element of the null space of A. This theorem is reformulated in the more general setting in which the operator is defined on a proper subset of E and takes values in E.

Original languageEnglish
Pages (from-to)81-96
Number of pages16
JournalNonlinear Analysis, Theory, Methods and Applications
Volume37
Issue number1
DOIs
Publication statusPublished - Jan 1 1999

Fingerprint

M-accretive Operator
Banach spaces
Mathematical operators
Steepest Descent
Zero
Approximation
Theorem
Banach space
Accretive Operator
Proper subset
Null Space
Strong Convergence
Semigroup
Converge
Necessary Conditions
Sufficient Conditions
Operator

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

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Approximation of the zeros of m-accretive operators. / Chidume, C. E.; Zegeye, Habtu.

In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 37, No. 1, 01.01.1999, p. 81-96.

Research output: Contribution to journalArticle

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