Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/555

 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 TheoremGeneralized Variational InequalitiesGeneralized Complementarity ProblemsH-Demi OperatorLower SemicontinuousUpper SemicontinuousLower HemicontinuousUpper HemicontinuousDemi OperatorMonotone 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. URI: http://hdl.handle.net/10525/555 ISSN: 1310-6600 Appears in Collections: Volume 24 Number 2

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