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Weak sharp solutions of mixed variational inequalities in Banach spaces

Weak sharp solutions of mixed variational inequalities in Banach spaces In this paper, using the approximate duality mapping, we introduce the definition of weak sharpness of the solution set to a mixed variational inequality in Banach spaces. In terms of the primal gap function associated to the mixed variational inequality, we give several characterizations of the weak sharpness. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Optimization Letters Springer Journals

Weak sharp solutions of mixed variational inequalities in Banach spaces

Optimization Letters , Volume 12 (2) – Feb 4, 2017

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References (14)

Publisher
Springer Journals
Copyright
Copyright © 2017 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Optimization; Operations Research/Decision Theory; Computational Intelligence; Numerical and Computational Physics, Simulation
ISSN
1862-4472
eISSN
1862-4480
DOI
10.1007/s11590-017-1112-2
Publisher site
See Article on Publisher Site

Abstract

In this paper, using the approximate duality mapping, we introduce the definition of weak sharpness of the solution set to a mixed variational inequality in Banach spaces. In terms of the primal gap function associated to the mixed variational inequality, we give several characterizations of the weak sharpness.

Journal

Optimization LettersSpringer Journals

Published: Feb 4, 2017

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