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Advances in Inequalities and Applications ISSN 2050-7461

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Adv. Inequal. Appl. 2019 (2019), Article ID 15

Sensitivity analysis for a parametric generalized variational-like inequality problem: a P-η-proximal mapping approach

F.A. Khan, R.H. Aljahani, A.A. Alatawi, J.S. Alatawi

PDF (151.1 KB) https://doi.org/10.28919/aia/4357

Abstract

In this paper, using P-η-proximal mapping, we study the existence and sensitivity analysis of solution of a parametric generalized variational-like inequality problem in uniformly smooth Banach space. The approach used in this paper may be treated as an extension and unification of approaches for studying sensitivity analysis of solution for various important classes of variational inequalities (inclusions) given by many authors, see for example [2-7,9-11,13-16,18,19].

Published
6 December 2019
Volume
2019 (2019)
License
CC BY 3.0

Copyright © 2019 F.A. Khan, R.H. Aljahani, A.A. Alatawi, J.S. Alatawi. 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

F. A. Khan, R. H. Aljahani, A. A. Alatawi, J. S. Alatawi, Sensitivity analysis for a parametric generalized variational-like inequality problem: a P-η-proximal mapping approach, Adv. Inequal. Appl. 2019 (2019), 15. https://doi.org/10.28919/aia/4357

BibTeX
@article{Khan2019,
  author  = {Khan, F.A. and Aljahani, R.H. and Alatawi, A.A. and Alatawi, J.S.},
  title   = {Sensitivity analysis for a parametric generalized variational-like inequality problem: a P-η-proximal mapping approach},
  journal = {Adv. Inequal. Appl.},
  volume  = {2019},
  year    = {2019},
  pages   = {15},
  doi     = {10.28919/aia/4357}
}