Generalized Variational Inequalities for Upper Hemicontinuous and Demi Operators with Applications to Fixed Point Theorems in Hilbert Spaces
Generalized Variational Inequalities for Upper Hemicontinuous and Demi Operators with Applications to Fixed Point Theorems in Hilbert Spaces
Summary: Existence theorems of generalized variational inequalities and generalized complementary 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.
- Bulgarian Academy of Sciences Bulgaria
- Institute of Mathematics and Informatics Bulgaria
H-Demi Operator, Upper Semicontinuous, demi operator, Lower Semicontinuous, Generalized Variational Inequalities, Lower Hemicontinuous, Demi Operator, Monotone and Semi-Monotone Maps, generalized complementary problems, set-valued operators, Fixed-point theorems, Variational and other types of inequalities involving nonlinear operators (general), Kneser's minimax theorem, Generalized Complementarity Problems, Kneser’s Minimax Theorem, Upper Hemicontinuous, generalized variational inequalities, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc., Existence of solutions for minimax problems, Set-valued operators, Monotone operators and generalizations, lower hemicontinuous
H-Demi Operator, Upper Semicontinuous, demi operator, Lower Semicontinuous, Generalized Variational Inequalities, Lower Hemicontinuous, Demi Operator, Monotone and Semi-Monotone Maps, generalized complementary problems, set-valued operators, Fixed-point theorems, Variational and other types of inequalities involving nonlinear operators (general), Kneser's minimax theorem, Generalized Complementarity Problems, Kneser’s Minimax Theorem, Upper Hemicontinuous, generalized variational inequalities, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc., Existence of solutions for minimax problems, Set-valued operators, Monotone operators and generalizations, lower hemicontinuous
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