An algorithm for a common minimum-norm zero of a finite family of monotone mappings in Banach spaces

Habtu Zegeye, Naseer Shahzad

Research output: Contribution to journal › Article

2 Citations (Scopus)

Abstract

We introduce an iterative process which converges strongly to a common minimum-norm point of solutions of a finite family of monotone mappings in Banach spaces. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear mappings.

Original languageEnglish
Article number566
JournalJournal of Inequalities and Applications
Volume2013
DOIs
Publication statusPublished - Nov 1 2013

Fingerprint

Monotone Mapping
Nonlinear Mapping
Banach spaces
Iterative Process
Banach space
Converge
Norm
Zero
Theorem
Family
Class

All Science Journal Classification (ASJC) codes

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Cite this

Zegeye, Habtu ; Shahzad, Naseer. / An algorithm for a common minimum-norm zero of a finite family of monotone mappings in Banach spaces. In: Journal of Inequalities and Applications. 2013 ; Vol. 2013.
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Zegeye, H & Shahzad, N 2013, 'An algorithm for a common minimum-norm zero of a finite family of monotone mappings in Banach spaces', Journal of Inequalities and Applications, vol. 2013, 566. https://doi.org/10.1186/1029-242X-2013-566

An algorithm for a common minimum-norm zero of a finite family of monotone mappings in Banach spaces. / Zegeye, Habtu; Shahzad, Naseer.

In: Journal of Inequalities and Applications, Vol. 2013, 566, 01.11.2013.

Research output: Contribution to journal › Article

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AB - We introduce an iterative process which converges strongly to a common minimum-norm point of solutions of a finite family of monotone mappings in Banach spaces. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear mappings.

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Zegeye H, Shahzad N. An algorithm for a common minimum-norm zero of a finite family of monotone mappings in Banach spaces. Journal of Inequalities and Applications. 2013 Nov 1;2013. 566. https://doi.org/10.1186/1029-242X-2013-566

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