A unified approach for a class of problems involving a pseudo-monotone operator

Petru Jebelean; Dumitru Motreanu; Viorica Venera Motreanu

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A unified approach for a class of problems involving a pseudo-monotone operator

机译：涉及伪单调算子的一类问题的统一方法

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摘要

In this paper we establish the solvability and approximation of a general inequality problem by means of a sequence of problems satisfying some compatibility conditions with respect to the initial one. The setting allows to unify and extend various existence results in the smooth and nonsmooth analysis. The approach mainly relies on Galerkin like approximations, pseudo-monotone operators and topics from nonsmooth analysis.

机译：在本文中，我们通过满足一系列与初始条件有关的相容性条件的问题序列，建立了一般不等式问题的可解性和逼近度。该设置允许在平滑和不平滑分析中统一和扩展各种存在结果。该方法主要依赖于Galerkin，如逼近，伪单调算子和非平滑分析的主题。

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来源
《Mathematische Nachrichten》 |2008年第9期|共11页
作者
Petru Jebelean; Dumitru Motreanu; Viorica Venera Motreanu;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Variational inequality; Pseudo-monotone operators; Approximation; Nonsmooth analysis;

机译：变分不等式伪单调算子逼近非光滑分析;

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专利

1. A unified approach for a class of problems involving a pseudo-monotone operator [J] . Petru Jebelean, Dumitru Motreanu, Viorica Venera Motreanu Mathematische Nachrichten . 2008,第9期

机译：涉及伪单调算子的一类问题的统一方法
2. A unified class of analytic functions involving a generalization of the Srivastava-Attiya operator [J] . Srivastava H. M., Gaboury S., Ghanim F. Applied mathematics and computation . 2015,第Null期

机译：涉及Srivastava-Attiya运算符的推广的统一类的分析函数
3. A unifying approach to solve a class of rank-three programs involving linear and quadratic functions [J] . Cambini Riccardo, Sodini Claudio Optimization: A Journal of Mathematical Programming and Operations Research . 2017,第10a12期

机译：解决涉及线性和二次函数的等级三个程序的统一方法
4. A class of pseudo-monotone operators and its applications in PDE [C] . Zuchi Chen, Xiaodong Yan US-Chinese Conference on Differential Equations and Applications held in Hangzhou, June 24-29, 1996 . 1996

机译：一类伪单调算子及其在PDE中的应用
5. A unified approach using delta operators for singularly perturbed control systems. [D] . Shim, Kyu-Hong. 1999

机译：使用delta运算符的奇异摄动控制系统的统一方法。
6. Well-posedness for a class of generalized variational-hemivariational inequalities involving set-valued operators [O] . Caijing Jiang -1

机译：一类涉及集值算子的广义变分半偏不等式的适定性
7. Asymptotic behaviour of a class of elliptic-parabolic operators: a unified approach [O] . F. PARONETTO 2007

机译：一类椭圆抛物线算子的渐近行为：统一方法
8. Unified Approach to Eigenvalues and Resonances of Schroedinger Operators Using Fredholm Determinants [R] . Gesztesy, F., Holden, H. 1984

机译：用Fredholm行列式统一方法研究schroedinger算子的特征值和共振

A unified approach for a class of problems involving a pseudo-monotone operator

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