Some aspects of variational inequalities

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Abstract

In this paper we provide an account of some of the fundamental aspects of variational inequalities with major emphasis on the theory of existence, uniqueness, computational properties, various generalizations, sensitivity analysis and their applications. We also propose some open problems with sufficient information and references, so that someone may attempt solution(s) in his/her area of special interest. We also include some new results, which we have recently obtained.

Keywords

Variational inequalities
Wiener–Hopf equations
iterative methods
algorithms
convergence criteria
fuzzy mappings
sensitivity analysis
error estimates
finite-element techniques
approximations
auxiliary principle
complementarity problems

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