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

Habtu Zegeye | Zendy; Naseer Shahzad | Zendy

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

Author(s) -

Habtu Zegeye,

Naseer Shahzad

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/232170

Subject(s) - mathematics , monotone polygon , zero (linguistics) , banach space , class (philosophy) , regular polygon , nonlinear system , point (geometry) , pure mathematics , discrete mathematics , computer science , geometry , philosophy , linguistics , physics , quantum mechanics , artificial intelligence

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.

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