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Advances in Fixed Point Theory ISSN 1927-6303 (Print)

Archives › Volume 3, Number 4 (2013)

Adv. Fixed Point Theory 3 (2013), 629–647

Solvability of a system of generalized extended variational inequalities

Balwant Singh Thakur, Suja Varghese

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Abstract

In this paper, we proposed a system of generalized extended nonlinear variational inequality problem (SGENVI) involving three different trivariate mappings and six different nonlinear mappings. We also proposed three steps relaxed parallel projection algorithm for convergence analysis of the approximate solvability of the SGENVI problem. Further, we propose relaxed parallel projection algorithm, which converges to common element of solution set of the SGENVI, and the fixed point set of three nonexpansive mappings.

Published
27 October 2013
Volume
3 (2013)
License
CC BY 3.0

Copyright © 2013 Balwant Singh Thakur, Suja Varghese. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

B. S. Thakur, S. Varghese, Solvability of a system of generalized extended variational inequalities, Adv. Fixed Point Theory 3 (2013), 629–647.

BibTeX
@article{Thakur2013,
  author  = {Thakur, Balwant Singh and Varghese, Suja},
  title   = {Solvability of a system of generalized extended variational inequalities},
  journal = {Adv. Fixed Point Theory},
  volume  = {3},
  year    = {2013},
  pages   = {629--647},
  doi     = {}
}