Strong convergence theorems for a common zero of a countably infinite family of α-inverse strongly accretive mappings

Habtu Zegeye, Naseer Shahzad

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

Let E be a real reflexive Banach space which has a uniformly Gâteaux differentiable norm. Assume that every nonempty closed convex and bounded subset of E has the fixed point property for nonexpansive mappings. Strong convergence theorems for approximation of a common zero of a countably infinite family of α-inverse strongly accretive mappings are proved. Related results deal with strong convergence of theorems to a common fixed point of a countably infinite family of strictly pseudocontractive mappings.

Original languageEnglish
Pages (from-to)531-538
Number of pages8
JournalNonlinear Analysis, Theory, Methods and Applications
Volume71
Issue number1-2
DOIs
Publication statusPublished - Jul 1 2009

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Accretive Mapping
Strong Theorems
Strong Convergence
Convergence Theorem
Strictly Pseudocontractive Mapping
Fixed Point Property
Reflexive Banach Space
Zero
Nonexpansive Mapping
Common Fixed Point
Differentiable
Banach spaces
Norm
Closed
Subset
Approximation
Theorem
Family

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

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