Title

Generalized Eckstein-Bertsekas Proximal Point Algorithm Involving (H, Η)-Monotonicity Framework

Keywords

(H, η)-monotonic mapping; General firm nonexpansiveness; Generalized Eckstein-Bertsekas proximal point algorithm; Generalized resolvent operator; Maximal monotonic mapping; Variational inclusions

Abstract

A general framework for the Eckstein-Bertsekas proximal point algorithm, based on the notion of (H, η)-monotonicity, is developed. Convergence analysis for the generalized Eckstein-Bertsekas proximal point algorithm in the context of solving a class of nonlinear inclusions is examined. Furthermore, some results on general firm nonexpansiveness and resolvent mapping corresponding to (H, η)-monotonicity are given. © 2006 Elsevier Ltd. All rights reserved.

Publication Date

5-1-2007

Publication Title

Mathematical and Computer Modelling

Volume

45

Issue

9-10

Number of Pages

1214-1230

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.mcm.2006.09.019

Socpus ID

33846360064 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/33846360064

This document is currently not available here.

Share

COinS