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

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].

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Published: 2019-12-06

How to 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), Article ID 15

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.

Advances in Inequalities and Applications

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