Open Access
2010 THREE-STEP PROJECTION METHODS FOR NONCONVEX VARIATIONAL INEQUALITIES
Muhammad Aslam Noor
Author Affiliations +
Albanian J. Math. 4(3): 89-96 (2010). DOI: 10.51286/albjm/1288624622

Abstract

It is well-known that the nonconvex variational inequalities are equivalent to the fixed point problems. We use this equivalent formulation to suggest and analyze some three-step iterative methods for solving the non-convex variational inequalities. We prove the convergence of the three-step iterative methods under suitable weaker conditions. Several special cases are also discussed. Our method of proof is very simple.

Acknowledgement

The author would like to express his gratitude to Dr. M. Junaid Zaidi, Rector, CIIT, for providing excellent research facilities.

Citation

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Muhammad Aslam Noor. "THREE-STEP PROJECTION METHODS FOR NONCONVEX VARIATIONAL INEQUALITIES." Albanian J. Math. 4 (3) 89 - 96, 2010. https://doi.org/10.51286/albjm/1288624622

Information

Published: 2010
First available in Project Euclid: 14 July 2023

Digital Object Identifier: 10.51286/albjm/1288624622

Subjects:
Primary: 49J40 , 90C33

Keywords: iterative methods , nonconvex sets , projection , variational inequalities

Rights: Copyright © 2010 Research Institute of Science and Technology (RISAT)

Vol.4 • No. 3 • 2010
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