论文标题
强烈单调类型的非线性方程溶液的算法以及用于最小化和变化不平等问题的应用
Algorithm for solutions of nonlinear equations of strongly monotone type and applications to convex minimization and variational inequality problems
论文作者
论文摘要
现实生活中的问题受本质上非线性的方程式支配。非线性方程式发生在建模问题中，例如最大程度地减少行业成本，并最大程度地降低企业的风险。一种不涉及存在真实常数的假设的技术，其计算不清楚用于获得（P，p，η） - strongly单调类型的非线性方程的强收敛结果，其中η> 0，p> 1。为（p，p，η） - strongly单型酮类型提供了一个示例。主要结果是凸的最小化和变异不平等问题的解决方案。该解决方案在工程，物理，生物学，化学，经济学和游戏理论等其他领域都有应用。
Real-life problems are governed by equations which are nonlinear in nature. Nonlinear equations occur in modeling problems, such as minimizing costs in industries and minimizing risks in businesses. A technique which does not involve the assumption of existence of a real constant whose calculation is unclear is used to obtain a strong convergence result for nonlinear equations of (p, η)-strongly monotone type, where η > 0, p > 1. An example is presented for the nonlinear equations of (p, η)-strongly monotone type. As a consequence of the main result, the solutions of convex minimization and variational inequality problems are obtained. This solution has applications in other fields such as engineering, physics, biology, chemistry, economics, and game theory.
