Local uniqueness and convergence of iterative methods for nonsmooth variational inequalities

Houyuan Y. Jiang; Liqun Qi

doi:10.1006/jmaa.1995.1412

Local uniqueness and convergence of iterative methods for nonsmooth variational inequalities

Houyuan Y. Jiang, Liqun Qi

Research output: Journal article publication › Journal article › Academic research › peer-review

36 Citations (Scopus)

Abstract

In this paper, we study nonsmooth variational inequalities. Using nonsmooth analysis, we characterize various monotonicity properties of locally Lipschitzian functions and give some sufficient conditions to guarantee the local uniqueness of solutions to variational inequalities. Two iterative algorithms are also presented to solve nonsmooth variational inequalities.

Original language	English
Pages (from-to)	314-331
Number of pages	18
Journal	Journal of Mathematical Analysis and Applications
Volume	196
Issue number	1
DOIs	https://doi.org/10.1006/jmaa.1995.1412
Publication status	Published - 15 Nov 1995
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1006/jmaa.1995.1412

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title = "Local uniqueness and convergence of iterative methods for nonsmooth variational inequalities",

abstract = "In this paper, we study nonsmooth variational inequalities. Using nonsmooth analysis, we characterize various monotonicity properties of locally Lipschitzian functions and give some sufficient conditions to guarantee the local uniqueness of solutions to variational inequalities. Two iterative algorithms are also presented to solve nonsmooth variational inequalities.",

author = "Jiang, {Houyuan Y.} and Liqun Qi",

year = "1995",

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AB - In this paper, we study nonsmooth variational inequalities. Using nonsmooth analysis, we characterize various monotonicity properties of locally Lipschitzian functions and give some sufficient conditions to guarantee the local uniqueness of solutions to variational inequalities. Two iterative algorithms are also presented to solve nonsmooth variational inequalities.

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DO - 10.1006/jmaa.1995.1412

M3 - Journal article

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JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

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Local uniqueness and convergence of iterative methods for nonsmooth variational inequalities

Abstract

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