一类新的指数一般非凸变分不等式

M. Noor, K. Noor
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引用次数: 0

摘要

本文引入并研究了一类新的指数型一般非凸变分不等式。讨论了这些非凸变分不等式在一些特殊情况下的应用。利用投影技术建立了非凸变分不等式与不动点问题的等价性。用这个等价公式讨论了解的存在性。提出并分析了几种求解指数型一般非凸变分不等式的惯性型方法。利用投影算子和动力系统技术。在适当和适当的弱条件下,分析了迭代方法的收敛性。从这个意义上说,我们的结果可以看作是对先前已知结果的改进和细化。与其他技术相比,我们的证明方法很简单。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
New Classes of Exponentially General Nonconvex Variational Inequalities
In this paper, some new classes of exponentially general nonconvex variational inequalities are introduced and investigated. Several special cases are discussed as applications of these nonconvex variational inequalities. Projection technique is used to establish the equivalence between the non covex variational inequalities and fixed point problem. This equivalent formulation is used to discuss the existence of the solution. Several inertial type methods are suggested and analyzed for solving exponentially general nonconvex variational inequalities. using the technique of the projection operator and dynamical systems. Convergence analysis of the iterative methods is analyzed under suitable and appropriate weak conditions. In this sense, our result can be viewed as improvement and refinement of the previously known results. Our methods of proof are very simple as compared with other techniques.
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