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

Peng Cheng and Anshen Zhang

Abstract and Applied Analysis, 2012, vol. 2012, 1-17

Abstract:

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:893635

DOI: 10.1155/2012/893635

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