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May 6, 2021
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May 6, 2021
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Abstract

Purpose of study: To introduce the concept of projective and involuntary variational inequality problems of order  and  respectively. To study the equivalence theorem between these problems. To study the projected dynamical system using self involutory variational inequality problems.


Methodology: Improved extra gradient method is used.


Main Finding: Using a self-solvable improved extra gradient method we solve the variational inequalities. The algorithm of the projected dynamical system is provided using the RK-4 method whose equilibrium point solves the involutory variational inequality problems.


Application of this study: Runge-Kutta type method of order 2 and 4 is used for the initial value problem with the given projected dynamical system with the help of self involutory variational inequality problems.


The originality of this study:  The concept of self involutory variational inequality problems, projective and involuntary variational inequality problems of order  and  respectively are newly defined.

Keywords

Involutory Variational Inequalities Projective Variational Inequalities Projection Method Projected Dynamical System

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Authors retain the copyright without restrictions for their published content in this journal. IJSRTM is a SHERPA ROMEO Journal. 

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How to Cite
Mitra, S., & Das, P. K. (2021). ρ-PROJECTIVE AND σ-INVOLUNTARY VARIATIONAL INEQUALITIES AND IMPROVED PROJECTION METHOD FOR PROJECTED DYNAMICAL SYSTEM. International Journal of Students’ Research in Technology & Management, 9(2), 18–24. https://doi.org/10.18510/ijsrtm.2021.924
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