New Inertial Forward-Backward Mid-Point Methods for Sum of Infinitely Many Accretive Mappings, Variational Inequalities, and Applications

New Inertial Forward-Backward Mid-Point Methods for Sum of Infinitely Many Accretive Mappings, Variational Inequalities, and Applications

Some new inertial forward-backward projection iterative algorithms are designed in a real Hilbert space. Under mild assumptions, some strong convergence theorems for common zero points of the sum of two kinds of infinitely many accretive mappings are proved. New projection sets are constructed which...

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Bibliographic Details
Main Authors: Li Wei, Yingzi Shang, Ravi P. Agarwal
Format: Article
Language:English
Published: MDPI AG 2019-05-01
Series:Mathematics
Subjects:
m-accretive mapping
strongly positive mapping
<i>μ</i>-inversely strongly accretive mapping
<i>τ</i>-Lipschitz continuous mapping
variational inequalities
capillarity systems
Online Access:https://www.mdpi.com/2227-7390/7/5/466

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