Weak and Strong Convergence Theorems for the Inclusion Problem and the Fixed-Point Problem of Nonexpansive Mappings

Weak and Strong Convergence Theorems for the Inclusion Problem and the Fixed-Point Problem of Nonexpansive Mappings

In this work, we study the inclusion problem of the sum of two monotone operators and the fixed-point problem of nonexpansive mappings in Hilbert spaces. We prove the weak and strong convergence theorems under some weakened conditions. Some numerical experiments are also given to support our main th...

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Bibliographic Details
Main Authors: Prasit Cholamjiak, Suparat Kesornprom, Nattawut Pholasa
Format: Article
Language:English
Published: MDPI AG 2019-02-01
Series:Mathematics
Subjects:
strong convergence
weak convergence
fixed point
nonexpansive mappings
maximal monotone operator
inverse strongly monotone mapping
hilbert space
Online Access:https://www.mdpi.com/2227-7390/7/2/167

Internet

https://www.mdpi.com/2227-7390/7/2/167

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