The Existence Of The Solution Of A Class Of Generalized Variational Inequalities And Its Applications In Banach Spaces

Posted on:2002-05-18

Degree:Master

Type:Thesis

Country:China

Candidate:J M Chen

Full Text:PDF

GTID:2120360032451816

Subject:Basic mathematics

Abstract/Summary:

PDF Full Text Request

In this paper, B is a real Banach space, K Er E is a bounded closed convex subset. We study the genera theory of generalized variational inequality , i. e. find u0 K, such that: where N(.,.) :are operators satisfying some conditoins. And by it, we discuss the existence of the solution of the equation N(Tu, Su) At last, we discuss its applications.

Keywords/Search Tags:

and phrases:generalized variational inequality, multi-valued upper semicontinuous operator, completely continuous mapping, variational solution

PDF Full Text Request

Related items

1	With Type (m) Operator Variational Inequalities And Applications
2	System Of Generalized Multi-valued Variational Inclusions And Equilibrium Existence Theorem In FC-spaces
3	Research On Iterative Algorithm Of Nonexpansive Operator And Its Application In Variational Inequality Problem And Multi-valued Variational Inequality Problem
4	A-Monotonicity And Its Role In Nonlinear Variational Inclusions And System Of Set-Valued Variational Inclusions
5	The Existence Of Nonzero Solutions For Set-valued Variational Inequalities
6	The Stability Of Solution Set To η-set-valued Weak Vector Variational Inequality Problem
7	The Generalized F-projection Operator With Applications
8	A System Of Completely Generalized Strongly Quasi-variational Inclusions In Banach Spaces
9	Solvability Of Some Perturbed Variational Inequalities In Finite Dimensional Spaces
10	Completely Generalized Mixed Implicit Quasi-Variational Inequality And A System Of Generalized Implicit Quasi Variational-Like Inclusion