一类包含集值算子的广义变分-半变分不等式的适定性。

IF 1.6 3区数学 Q1 Mathematics

Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-07-24 DOI:10.1186/s13660-018-1776-x

Caijing Jiang

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引用次数: 0

摘要

本文的目的是研究一类包含集值算子的广义变分-半变分不等式问题的适定性。给出了一些系统的方法，建立了不等式问题的几类适定性之间的等价定理和相应的度量刻画，推广了许多已知的结果。最后，讨论了一类广义混合平衡问题的适定性。

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Well-posedness for a class of generalized variational-hemivariational inequalities involving set-valued operators.

The aim of present work is to study some kinds of well-posedness for a class of generalized variational-hemivariational inequality problems involving set-valued operators. Some systematic approaches are presented to establish some equivalence theorems between several classes of well-posedness for the inequality problems and some corresponding metric characterizations, which generalize many known results. Finally, the well-posedness for a class of generalized mixed equilibrium problems is also considered.

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来源期刊

Journal of Inequalities and Applications MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.30

自引率

6.20%

发文量

136

审稿时长

3 months

期刊介绍： The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.