Some Results on an Infinite Family of Nonexpansive Mappings and an Inverse-Strongly Monotone Mapping in Hilbert Spaces | Zendy

Peng Cheng | Zendy; Anshen Zhang | Zendy

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Some Results on an Infinite Family of Nonexpansive Mappings and an Inverse-Strongly Monotone Mapping in Hilbert Spaces

Author(s) -

Peng Cheng,

Anshen Zhang

Publication year - 2012

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 - 10.1155/2012/893635

Subject(s) - mathematics , monotone polygon , hilbert space , variational inequality , strongly monotone , inverse , convergence (economics) , fixed point , set (abstract data type) , pure mathematics , mathematical analysis , geometry , computer science , economics , programming language , economic growth

We study the problem of approximating a common element in the common fixed point set of an infinite family of nonexpansive mappings and in the solution set of a variational inequality involving an inverse-strongly monotone mapping based on a viscosity approximation iterative method. Strong convergence theorems of common elements are established in the framework of Hilbert spaces

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