On an Iterative Method for Finding a Zero to the Sum of Two Maximal Monotone Operators | Zendy

Hongwei Jiao | Zendy; Fenghui Wang | Zendy

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On an Iterative Method for Finding a Zero to the Sum of Two Maximal Monotone Operators

Author(s) -

Hongwei Jiao,

Fenghui Wang

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/414031

Subject(s) - monotone polygon , mathematics , zero (linguistics) , variational inequality , convergence (economics) , projection (relational algebra) , projection method , mathematical optimization , algorithm , dykstra's projection algorithm , economic growth , philosophy , linguistics , geometry , economics

In this paper we consider a problem that consists of finding a zero to the sum of two monotone operators. One method for solving such a problem is the forward-backward splitting method. We present some new conditions that guarantee the weak convergence of the forward-backward method. Applications of these results, including variational inequalities and gradient projection algorithms, are also considered

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