scholarly journals Applications of general variational inequalities to coincidence point results

2014 ◽  
Vol 85 (1-2) ◽  
pp. 47-58
Author(s):  
ALIREZA AMINI-HARANDI ◽  
SZILARD LASZLO
Keyword(s):  
Variational Inequalities ◽  
Coincidence Point ◽  
General Variational Inequalities

scholarly journals Solution existence of general variational inequalities and coincidence points

2014 ◽  
Vol 30 (1) ◽  
pp. 15-22
Author(s):  
ALIREZA AMINI-HARANDI ◽  
◽  
SZILARD LASZLO ◽  
Keyword(s):  
Fixed Point ◽  
Variational Inequality ◽  
Variational Inequalities ◽  
Simple Technique ◽  
Coincidence Point ◽  
Existence Results ◽  
Solution Existence ◽  
Coincidence Points ◽  
General Variational Inequality ◽  
General Variational Inequalities

In this paper, by using a simple technique, we obtain several existence results of the solutions for general variational inequalities of Stampacchia type. We also show, that the existence of a coincidence point of two mappings is equivalent to the existence of the solution of a particular general variational inequality of Stampacchia type. As applications several coincidence and fixed point results are obtained.

scholarly journals Parametric Extended General Mixed Variational Inequalities

2012 ◽  
Vol 2012 ◽  
pp. 1-11
Author(s):  
Muhammad Aslam Noor
Keyword(s):  
Variational Inequalities ◽  
Complementarity Problems ◽  
Equivalent Formulation ◽  
Resolvent Equations ◽  
Special Cases ◽  
General Variational Inequalities ◽  
Significant Extension ◽  
Mixed Variational Inequalities ◽  
The Given

It is well known that the resolvent equations are equivalent to the extended general mixed variational inequalities. We use this alternative equivalent formulation to study the sensitivity of the extended general mixed variational inequalities without assuming the differentiability of the given data. Since the extended general mixed variational inequalities include extended general variational inequalities, quasi (mixed) variational inequalities and complementarity problems as special cases, results obtained in this paper continue to hold for these problems. In fact, our results can be considered as a significant extension of previously known results.

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