Next Article in Journal
Analytical Solution to Normal Forms of Hamiltonian Systems
Previous Article in Journal
3-Homogeneous Groups and Block-Transitive 7–(v, k, 3) Designs
Article Menu

Export Article

Open AccessArticle
Math. Comput. Appl. 2017, 22(2), 36; doi:10.3390/mca22020036

Finite Convergence for Feasible Solution Sequence of Variational Inequality Problems

School of Science, Shandong University of Technology, Zibo 255049, China
*
Author to whom correspondence should be addressed.
Academic Editor: Fazal M. Mahomed
Received: 19 April 2017 / Revised: 31 May 2017 / Accepted: 7 June 2017 / Published: 20 June 2017
View Full-Text   |   Download PDF [722 KB, uploaded 20 June 2017]

Abstract

We establish the notion of augmented weak sharpness of solution sets for the variational inequality problems which can be abbreviated to VIPs. This notion of augmented weak sharpness is an extension of the weak sharpness of the solution set of monotone variational inequality, and it overcomes the defect of the solution set not satisfying the weak sharpness in many cases. Under the condition of the solution set being augmented weak sharp, we present a necessary and sufficient condition for finite convergence for feasible solution sequence of VIP. The result is an extension of published results, and the augmented weak sharpness also provides weaker sufficient conditions for the finite convergence of many optimization algorithms. View Full-Text
Keywords: variational inequality problem; feasible solution sequence; augmented weak sharpness; finite convergence variational inequality problem; feasible solution sequence; augmented weak sharpness; finite convergence
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Zhao, W.; Wang, R.; Zhang, H. Finite Convergence for Feasible Solution Sequence of Variational Inequality Problems. Math. Comput. Appl. 2017, 22, 36.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top