Geodesic
Generalized Variational Inequalities for Upper Hemicontinuous and Demi Operators with Applications to Fixed Point Theorems in Hilbert Spaces
Serdica Mathematical Journal, Tome 24 (1998) no. 2, pp. 163-178

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Existence theorems of generalized variational inequalities and generalized complementarity problems are obtained in topological vector spaces for demi operators which are upper hemicontinuous along line segments in a convex set X. Fixed point theorems are also given in Hilbert spaces for set-valued operators T which are upper hemicontinuous along line segments in X such that I − T are demi operators.
Keywords: Kneser’s Minimax Theorem, Generalized Variational Inequalities, Generalized Complementarity Problems, H-Demi Operator, Lower Semicontinuous, Upper Semicontinuous, Lower Hemicontinuous, Upper Hemicontinuous, Demi Operator, Monotone and Semi-Monotone Maps 
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     author = {Chowdhury, Mohammad},
     title = {Generalized {Variational} {Inequalities} for {Upper} {Hemicontinuous} and {Demi} {Operators} with {Applications} to {Fixed} {Point} {Theorems} in {Hilbert} {Spaces}},
     journal = {Serdica Mathematical Journal},
     pages = {163--178},
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Chowdhury, Mohammad. Generalized Variational Inequalities for Upper Hemicontinuous and Demi Operators with Applications to Fixed Point Theorems in Hilbert Spaces. Serdica Mathematical Journal, Tome 24 (1998) no. 2, pp. 163-178. http://geodesic.mathdoc.fr/item/SMJ2_1998_24_2_a3/