Iterative Schemes by a New Generalized Resolvent for a Monotone Mapping and a Relatively Weak Nonexpansive Mapping | Zendy

Xian Wang | Zendy; Jun-Min Chen | Zendy; Hui Tong | Zendy

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Iterative Schemes by a New Generalized Resolvent for a Monotone Mapping and a Relatively Weak Nonexpansive Mapping

Author(s) -

Xian Wang,

Jun-Min Chen,

Hui Tong

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 - 10.1155/2014/603186

Subject(s) - resolvent , monotone polygon , mathematics , banach space , fixed point , convergence (economics) , zero (linguistics) , scheme (mathematics) , point (geometry) , pure mathematics , mathematical analysis , geometry , linguistics , philosophy , economics , economic growth

We introduce a new generalized resolvent in a Banach space and discuss some of its properties. Using these properties, we obtain an iterative scheme for finding a point which is a fixed point of relatively weak nonexpansive mapping and a zero of monotone mapping. Furthermore, strong convergence of the scheme to a point which is a fixed point of relatively weak nonexpansive mapping and a zero of monotone mapping is proved

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