Some aspect of perturbed extended general quasi variational inequality by using auxiliary principle technique

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...

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Bibliographic Details
Main Author: Ziyad Ali Alhussain
Format: Article
Language:English
Published: Taylor & Francis Group 2020-01-01
Series:Journal of Taibah University for Science
Subjects:
Online Access:http://dx.doi.org/10.1080/16583655.2020.1804672
Description
Summary: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_\varepsilon }, g \textrm{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.
ISSN:1658-3655