Hybrid Projection Algorithm for Two Countable Families of Hemirelatively Nonexpansive Mappings and Applications | Zendy

ZiMing Wang | Zendy; Poom Kumam | Zendy

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Hybrid Projection Algorithm for Two Countable Families of Hemirelatively Nonexpansive Mappings and Applications

Author(s) -

ZiMing Wang,

Poom Kumam

Publication year - 2013

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 - 10.1155/2013/524795

Subject(s) - variational inequality , mathematics , countable set , banach space , monotone polygon , regular polygon , convergence (economics) , projection (relational algebra) , dykstra's projection algorithm , projection method , discrete mathematics , pure mathematics , algorithm , geometry , economics , economic growth

Two countable families of hemirelatively nonexpansive mappings are considered based on a hybrid projection algorithm. Strong convergence theorems of iterative sequences are obtained in an uniformly convex and uniformly smooth Banach space. As applications, convex feasibility problems, equilibrium problems, variational inequality problems, and zeros of maximal monotone operators are studied

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