论文标题
弱均质的广义变异不平等的独特可溶性
Unique solvability of weakly homogeneous generalized variational inequalities
论文作者
论文摘要
一个有趣的观察结果是，大多数弱均匀映射对没有强大的单调特性，这是确保广义变化不平等的独特可溶性的关键条件之一。本文着重于研究一对弱均匀映射的广义变异不平等的独特可溶性。通过使用较弱的条件，而不是强烈的单调性和一些其他条件，我们就基础问题的独特解决性获得了几个结果。这些结果是通过利用卓越的元素家庭出口，或者是从新获得的karamardian型定理中得出的，或在特殊的规律性条件下建立的。即使问题归结为近年来研究的重要子类，它们也是新的。
An interesting observation is that most pairs of weakly homogeneous mappings have no strongly monotonic property, which is one of the key conditions to ensure the unique solvability of the generalized variational inequality. This paper focuses on studying the unique solvability of the generalized variational inequality with a pair of weakly homogeneous mappings. By using a weaker condition than the strong monotonicity and some additional conditions, we achieve several results on the unique solvability of the underlying problem. These results are exported by making use of the exceptional family of elements or derived from new obtained Karamardian-type theorems or established under the exceptional regularity condition. They are new even when the problem comes down to its important subclasses studied in recent years.
