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

Serdica Mathematical Journal (1998)

- Volume: 24, Issue: 2, page 163-178
- ISSN: 1310-6600

## Access Full Article

top## Abstract

top## How to cite

topChowdhury, 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 -

## Citations in EuDML Documents

top## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.