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Title: Generalized Variational Inequalities for Upper Hemicontinuous and Demi Operators with Applications to Fixed Point Theorems in Hilbert Spaces
Authors: Chowdhury, Mohammad
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
Issue Date: 1998
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Serdica Mathematical Journal, Vol. 24, No 2, (1998), 163p-178p
Abstract: 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.
Description: ∗ The final version of this paper was sent to the editor when the author was supported by an ARC Small Grant of Dr. E. Tarafdar.
ISSN: 1310-6600
Appears in Collections:Volume 24 Number 2

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