Well-posed variational inequalities

Authors:
Muhammad Aslam Noor
Affiliations:
Etisalat College of Engineering, Sharjah, United Arab Emirates
Venue:
The Korean Journal of Computational & Applied Mathematics
Year:
2003

Citing 3
Cited 2

Some aspects of variational inequalities

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Wiener—Hopf equations technique for quasimonotone variational inequalities

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Hemivariational-like inequalities

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Predictor-corrector iterative algorithms for solving generalized mixed quasi-variational-like inclusion

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Abstract

In this paper, we introduce the concept of well-posedness for general variational inequalities and obtain some results under pseudomonotonicity. It is well known that monotonicity implies pseudomonotonicity, but the converse is not true. In this respect, our results represent an improvement and refinement of the previous known results. Since the general variational inequalities include (quasi) variational inequalities and complementarity problems as special cases, results obtained in this paper continue to hold for these problems.