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Article

On a General Projection Algorithm for Variational Inequalities Involving Relaxed Lipschitz and Relaxed Monotone Mappings

by
Hanif Salahuddin
Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India
Math. Comput. Appl. 2002, 7(2), 133-137; https://doi.org/10.3390/mca7020133
Published: 1 August 2002
Versions Notes

Abstract

In this paper, we consider the generalized nonlinear quasi-variational inequalities problem for set-valued mappings and construct an iterative algorithm for find the approximate solution of this problem by exploiting the projection method and prove the existence of the solution to our problem involving relaxed Lipschitz and relaxed monotone mappings and the convergence of the iterative sequences generated by this algorithm.
Keywords: Variational inequality; Iterative sequences; Projection techniques; Relaxed Lipschitz; relaxed monotone mappings Variational inequality; Iterative sequences; Projection techniques; Relaxed Lipschitz; relaxed monotone mappings

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MDPI and ACS Style

Salahuddin, H. On a General Projection Algorithm for Variational Inequalities Involving Relaxed Lipschitz and Relaxed Monotone Mappings. Math. Comput. Appl. 2002, 7, 133-137. https://doi.org/10.3390/mca7020133

AMA Style

Salahuddin H. On a General Projection Algorithm for Variational Inequalities Involving Relaxed Lipschitz and Relaxed Monotone Mappings. Mathematical and Computational Applications. 2002; 7(2):133-137. https://doi.org/10.3390/mca7020133

Chicago/Turabian Style

Salahuddin, Hanif. 2002. "On a General Projection Algorithm for Variational Inequalities Involving Relaxed Lipschitz and Relaxed Monotone Mappings" Mathematical and Computational Applications 7, no. 2: 133-137. https://doi.org/10.3390/mca7020133

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