Well-posedness for multi-time variational inequality problems via generalized monotonicity and for variational problems with multi-time variational inequality constraints

2021 ◽  
pp. 114033
Author(s):  
Shalini Jha ◽  
Prasun Das ◽  
Sanghamitra Bandhyopadhyay ◽  
Savin Treanţă
Keyword(s):  
Variational Inequality ◽  
Inequality Constraints ◽  
Variational Problems ◽  
Variational Inequality Problems ◽  
Generalized Monotonicity ◽  
Well Posedness

scholarly journals On Well-Posedness of Some Constrained Variational Problems

Mathematics ◽  
2021 ◽  
Vol 9 (19) ◽  
pp. 2478
Author(s):  
Savin Treanţă
Keyword(s):  
Variational Inequality ◽  
Lower Semicontinuity ◽  
Integral Functional ◽  
Inequality Constraints ◽  
Multiple Integral ◽  
Variational Problems ◽  
Well Posedness ◽  
New Class ◽  
Scalar Multiple ◽  
Constrained Variational Problems

By considering the new forms of the notions of lower semicontinuity, pseudomonotonicity, hemicontinuity and monotonicity of the considered scalar multiple integral functional, in this paper we study the well-posedness of a new class of variational problems with variational inequality constraints. More specifically, by defining the set of approximating solutions for the class of variational problems under study, we establish several results on well-posedness.

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