Strong convergence theorems for a common zero of a finite family of m-accretive mappings

Habtu Zegeye, Naseer Shahzad

Research output: Contribution to journalArticle

57 Citations (Scopus)

Abstract

Suppose K is a closed convex subset of a strictly convex real Banach space E which has a uniformly Gâteaux differentiable norm. Suppose that every nonempty closed convex bounded subset of E has the fixed point property for nonexpansive mappings. A strong convergence theorem is proved for a common zero of a family of m-accretive mappings from K to E. As a consequence, an iterative method is constructed to converge to a common fixed point (assuming existence) of a family of pseudocontractive mappings from K to E under certain mild condition.

Original languageEnglish
Pages (from-to)1161-1169
Number of pages9
JournalNonlinear Analysis, Theory, Methods and Applications
Volume66
Issue number5
DOIs
Publication statusPublished - Mar 1 2007

Fingerprint

Accretive Mapping
Strong Theorems
Strong Convergence
Convergence Theorem
Pseudocontractive Mapping
Closed
Fixed Point Property
Subset
Zero
Strictly Convex
Nonexpansive Mapping
Common Fixed Point
Differentiable
Banach spaces
Banach space
Iterative methods
Set theory
Converge
Iteration
Norm

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

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Strong convergence theorems for a common zero of a finite family of m-accretive mappings. / Zegeye, Habtu; Shahzad, Naseer.

In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 66, No. 5, 01.03.2007, p. 1161-1169.

Research output: Contribution to journalArticle

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