ABSTRACT

Perturb Extended GQVI provide natural, unified, simple and novel context to study an extensive class of equilibrium problems arising in various fields. In this work, we familiarize and study a number of new and known computational approaches to solve new class of QVI with three nonlinear machinists $T_{\epsilon },g\text{and}h$ by using different techniques including auxiliary approach and projection approach. We also deal with the existence of the solution of this newly established class of VI, as well as discuss the convergent theorem of the new algorithm by using the projection principal approach, which is simple as compared with other known classes of VI. Our consequences present an important enhancement of earlier recognized techniques for explaining various classes of VI. We are also debating several similar techniques as special cases. Several real-life equilibrium undeveloped problems have been proposed for further open new exploration horizon.

摘要

Perturb Extended GQVI提供自然，统一，简单和新颖的环境，以研究在各个领域中出现的广泛的平衡问题。在这项工作中，我们熟悉和研究了许多新的和已知的计算方法，以使用三个非线性机械师解决新的QVI类${Ť}_{\epsilon }，G\text{和}H$通过使用不同的技术，包括辅助方法和投影方法。我们还讨论了这种新建立的VI类解决方案的存在，并使用投影原理方法讨论了新算法的收敛定理，与其他已知的VI类相比，该算法很简单。我们的结果对解释各种VI类的早期公认技术进行了重大改进。我们还将辩论几种类似的技术作为特殊情况。为了进一步打开新的勘探视野，已经提出了一些现实生活中未解决的平衡问题。