scholarly journals Existence theorems of solutions for a kind of quasi-variational inequalities with monotone type multivalued mapping

1999 ◽  
Vol 37 (10) ◽  
pp. 161-166
Author(s):  
Xian Wu
Keyword(s):  
Variational Inequalities ◽  
Multivalued Mapping ◽  
Existence Theorems ◽  
Monotone Type

scholarly journals Nonlinear random operator equations and inequalities in Banach spaces

1992 ◽  
Vol 15 (1) ◽  
pp. 111-118 ◽  
Author(s):  
Antonios Karamolegos ◽  
Dimitrios Kravvaritis
Keyword(s):  
Banach Spaces ◽  
Existence Theorems ◽  
Random Operator ◽  
Measurable Selection ◽  
Hammerstein Integral Equation ◽  
Operator Equations ◽  
Deterministic Theory ◽  
Measurable Multifunctions ◽  
Selection Theorems ◽  
Monotone Type

In this paper we give some new existence theorems for nonlinear random equations and inequalities involving operators of monotone type in Banach spaces. A random Hammerstein integral equation is also studied. In order to obtain random solutions we use some results from the existing deterministic theory as well as from the theory of measurable multifunctions and, in particular, the measurable selection theorems of Kuratowski/Ryll-Nardzewski and of Saint-Beuve.

scholarly journals Certain remarks on a class of evolution quasi-variational inequalities

2000 ◽  
Vol 24 (12) ◽  
pp. 851-855 ◽  
Author(s):  
A. H. Siddiqi ◽  
Pammy Manchanda
Keyword(s):  
Variational Inequality ◽  
Variational Inequalities ◽  
Existence Theorems ◽  
Static Problem ◽  
The Other ◽  
Time Dependent ◽  
Isotropic Hardening ◽  
Quasi Variational Inequality

We prove two existence theorems, one for evolution quasi-variational inequalities and the other for a time-dependent quasi-variational inequality modeling the quasi-static problem of elastoplasticity with combined kinetic-isotropic hardening.

scholarly journals Some Existence Theorems for Nonconvex Variational Inequalities Problems

2010 ◽  
Vol 2010 ◽  
pp. 1-9 ◽  
Author(s):  
Narin Petrot
Keyword(s):  
Variational Inequalities ◽  
Nonsmooth Analysis ◽  
Existence Of Solutions ◽  
Existence Theorems

By using nonsmooth analysis knowledge, we provide the conditions for existence solutions of the variational inequalities problems in nonconvex setting. We also show that the strongly monotonic assumption of the mapping may not need for the existence of solutions. Consequently, the results presented in this paper can be viewed as an improvement and refinement of some known results from the literature.

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