A forward-backward penalty scheme with inertial effects for monotone inclusions. Applications to convex bilevel programming

We investigate a forward-backward splitting algorithm of penalty type with inertial effects for finding the zeros of the sum of a maximally monotone operator and a cocoercive one and the convex normal cone to the set of zeroes of an another cocoercive operator. Weak ergodic convergence is obtained f...

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Bibliographic Details
Published in:	Optimization Vol. 68; no. 10; pp. 1855 - 1880
Main Authors:	Boţ, Radu Ioan, Nguyen, Dang-Khoa
Format:	Journal Article
Language:	English
Published:	England Taylor & Francis 03.10.2019 Taylor & Francis LLC
Subjects:	Algorithms Convergence convex bilevel optimization Ergodic processes Fitzpatrick function forward-backward splitting algorithm Inclusions Maximally monotone operator Operators (mathematics) Maximally monotone operator 65K05 convex bilevel optimization forward–backward splitting algorithm Fitzpatrick function 90C25 47H05
ISSN:	0233-1934, 1029-4945, 1029-4945
Online Access:	Get full text
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