Convergence Theorems for Generalized Viscosity Explicit Methods for Nonexpansive Mappings in Banach Spaces and Some Applications

Convergence Theorems for Generalized Viscosity Explicit Methods for Nonexpansive Mappings in Banach Spaces and Some Applications

In this paper, we introduce a generalized viscosity explicit method (GVEM) for nonexpansive mappings in the setting of Banach spaces and, under some new techniques and mild assumptions on the control conditions, prove some strong convergence theorems for the proposed method, which converge to a fixe...

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Bibliographic Details
Main Authors: Pongsakorn Sunthrayuth, Nuttapol Pakkaranang, Poom Kumam, Phatiphat Thounthong, Prasit Cholamjiak
Format: Article
Language:English
Published: MDPI AG 2019-02-01
Series:Mathematics
Subjects:
nonexpansive mapping
Banach space
strong convergence
viscosity iterative method
nonlinear evolution equation
Fredholm integral equation
Online Access:https://www.mdpi.com/2227-7390/7/2/161

Internet

https://www.mdpi.com/2227-7390/7/2/161

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