Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications

Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications

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Article ID: iaor1991718
Country: Netherlands
Volume: 48
Issue: 2
Start Page Number: 161
End Page Number: 220
Publication Date: Sep 1990
Journal: Mathematical Programming
Authors: ,
Abstract:

Over the past decade, the field of finite-dimensional variational inequality and complementarity problems has seen a rapid development in its theory of existence, uniqueness and sensitivity of solution(s), in the theory of algorithms, and in the application of these techniques to transportation planning, regional science, socio-economic analysis, energy modeling, and game theory. This paper provides a state-of-the-art review of these developments as well as a summary of some open research topics in this growing field.

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