Proximal Point Algorithms for Finding a Zero of a Finite Sum of Monotone Mappings in Banach Spaces

Proximal Point Algorithms for Finding a Zero of a Finite Sum of Monotone Mappings in Banach Spaces

We introduce an iterative process which converges strongly to a zero of a finite sum of monotone mappings under certain conditions. Applications to a convex minimization problem are included. Our theorems improve and unify most of the results that have been proved in this direction for this importan...

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Veröffentlicht in:Abstract and Applied Analysis 2013-01, Vol.2013 (2013), p.936-942-197
Hauptverfasser: Zegeye, Habtu, Shahzad, Naseer
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Banach space
Banach spaces
Convex analysis
Fixed point theory
Mapping
Mappings (Mathematics)
Mathematical analysis
Mathematical research
Minimization
Nonlinearity
Optimization
Studies
Theorems
Zero (The number)
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Beschreibung
Zusammenfassung:We introduce an iterative process which converges strongly to a zero of a finite sum of monotone mappings under certain conditions. Applications to a convex minimization problem are included. Our theorems improve and unify most of the results that have been proved in this direction for this important class of nonlinear mappings.
ISSN:1085-3375
1687-0409
DOI:10.1155/2013/232170