Variational inequalities in noncompact nonconvex regions
Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2003)
- Volume: 23, Issue: 1, page 5-19
- ISSN: 1509-9407
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top- [1] E.G. Begle, Locally connected spaces and generalized manifolds, Amer. Math. J. 64 (1942), 553-574. Zbl0061.41101
- [2] E.G. Begle, The Vietoris mapping theorem for bicompact space, Ann. Math. 51 (1950), 534-543. Zbl0036.38803
- [3] E.G. Begle, A fixed point theorem, Ann. Math. 51 (1950), 544-550. Zbl0036.38901
- [4] F.E. Browder, Coincidence theorems, minimax theorems, and variational inequalities, Contemp. Math. 26 (1984), 67-80. Zbl0542.47046
- [5] D. Chan and J.S. Pang, The generalized quasi-variational inequality problem, Math. Oper. Res. 7 (1982), 211-222. Zbl0502.90080
- [6] L.J. Chu and C.Y. Lin, New versions of Nikaidô's coincidence theorem, Discuss. Math. DICO 22 (2002), 79-95. Zbl1039.47035
- [7] S.C. Fang and E.L. Peterson, Generalized variational inequalities, J. Optim. Th. Appl. 38 (3) (1982), 363-383. Zbl0471.49007
- [8] H. Halkin, Finite convexity in infinite-dimensional spaces, Proc. of the Colloquium on Convexity, Copenhagen (1965), W. Fenchel (ed.), Copenhagen (1967), 126-131.
- [9] G. Isac, Complementarity problems, Lecture Notes in Math. 1528, Springer-Verlag, New York, (1992). Zbl0795.90072
- [10] S. Karamardian, The complementarity problem, Math. Program. 2 (1972), 107-129. Zbl0247.90058
- [11] B. Knaster, C. Kuratowski and S. Mazurkiewicz, Ein beweis des fixpunktsatzes fur n-dimensionale simplexe, Fundamenta Math. 14 (1929) 132-137. Zbl55.0972.01
- [12] L.J. Lin, Pre-Vector variational inequalities, Bull. Australian Math. Soc. 53 (1995), 63-70. Zbl0858.49008
- [13] G.J. Minty, On the maximal domain of a monotone function, Michigan Math. J. 8 (1961), 135-137. Zbl0102.37503
- [14] H. Nikaidô, Coincidence and some systems of inequalities, J. Math. Soc., Japan 11 (1959), 354-373. Zbl0096.08004
- [15] R.T. Rockafellar, On the virtual convexity of the domain and range of a nonlinear maximal monotone operator, Math. Ann. 185 (1970), 81-90. Zbl0181.42202
- [16] R. Saigal, Extension of the generalized complemetarity problem, Math. of Oper. Res. 1 (3) (1976), 260-266. Zbl0363.90091