General proximal point algorithm involving η-maximal accretiveness framework in Banach spaces

General proximal point algorithm involving η-maximal accretiveness framework in Banach spaces First, based on η-maximal accretiveness, a generalization to Rockafellar’s theorem (1976) in the context of approximating a solution to a general inclusion problem involving a multivalued η-maximal accretive mapping using the proximal point algorithm in a q-uniformly smooth Banach space setting is considered. Then an application to a minimization problem of a functional is examined. The general framework for η-maximal accretiveness generalizes the general theory of multivalued maximal monotone mappings. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

General proximal point algorithm involving η-maximal accretiveness framework in Banach spaces

Positivity , Volume 13 (4) – Feb 20, 2009

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Publisher
Birkhäuser-Verlag
Copyright
Copyright © 2009 by Birkhäuser Verlag Basel/Switzerland
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-008-2268-x
Publisher site
See Article on Publisher Site

References

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