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

Archives › Volume 7, Number 2 (2017)

Adv. Fixed Point Theory 7 (2017), 183–206

Error bounds for random generalized mixed variational inequality problems with random fuzzy mapping

Shamshad Husain, Nisha Singh

Abstract

In this paper, we define some new notions of gap functions of random generalized mixed variational inequality problems in a fuzzy environment. Further, we compute error bounds for random generalized mixed variational inequality problems in terms of the residual gap function, the regularized gap function and the D-gap function. The results obtained are new and generalize a number of known results for generalized mixed variational inequality problems with fuzzy mappings.

Published
29 March 2017
Volume
7 (2017)
License
CC BY 3.0

Copyright © 2017 Shamshad Husain, Nisha Singh. 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

S. Husain, N. Singh, Error bounds for random generalized mixed variational inequality problems with random fuzzy mapping, Adv. Fixed Point Theory 7 (2017), 183–206.

BibTeX
@article{Husain2017,
  author  = {Husain, Shamshad and Singh, Nisha},
  title   = {Error bounds for random generalized mixed variational inequality problems with random fuzzy mapping},
  journal = {Adv. Fixed Point Theory},
  volume  = {7},
  year    = {2017},
  pages   = {183--206},
  doi     = {}
}