Generalized Variational Inequalities for Upper Hemicontinuous and Demi Operators with Applications to Fixed Point Theorems in Hilbert Spaces

Chowdhury, Mohammad. "Generalized Variational Inequalities for Upper Hemicontinuous and Demi Operators with Applications to Fixed Point Theorems in Hilbert Spaces." Serdica Mathematical Journal 24.2 (1998): 163-178. <http://eudml.org/doc/11587>.

@article{Chowdhury1998,
abstract = {∗ 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.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.},
author = {Chowdhury, Mohammad},
journal = {Serdica Mathematical Journal},
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; Kneser's minimax theorem; generalized variational inequalities; lower hemicontinuous; demi operator; generalized complementary problems; set-valued operators},
language = {eng},
number = {2},
pages = {163-178},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Generalized Variational Inequalities for Upper Hemicontinuous and Demi Operators with Applications to Fixed Point Theorems in Hilbert Spaces},
url = {http://eudml.org/doc/11587},
volume = {24},
year = {1998},
}

TY - JOUR
AU - Chowdhury, Mohammad
TI - Generalized Variational Inequalities for Upper Hemicontinuous and Demi Operators with Applications to Fixed Point Theorems in Hilbert Spaces
JO - Serdica Mathematical Journal
PY - 1998
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 24
IS - 2
SP - 163
EP - 178
AB - ∗ 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.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.
LA - eng
KW - 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; Kneser's minimax theorem; generalized variational inequalities; lower hemicontinuous; demi operator; generalized complementary problems; set-valued operators
UR - http://eudml.org/doc/11587
ER -