Geodesic
Calmness of the solution mapping of parametric variational relation problems
Filomat, Tome 35 (2021) no. 10, p. 3541

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DOI

We consider a class of variational relation problems, depending on two parameters from metric spaces. The issue under investigation is the behaviour of the solution in a neighborhood of a fixed pair of parameters, more precisely, the Hölder calmness of the solution mapping. After establishing some sufficient condition for calmness in a general framework, we particularize the result for a variational inclusion and for an equilibrium problem
DOI : 10.2298/FIL2110541I
Classification : 47J22, 49J40
Keywords: variational relations, equilibrium problems, calmness 
Daniela Inoan. Calmness of the solution mapping of parametric variational relation problems. Filomat, Tome 35 (2021) no. 10, p. 3541 . doi: 10.2298/FIL2110541I
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     author = {Daniela Inoan},
     title = {Calmness of the solution mapping of parametric variational relation problems},
     journal = {Filomat},
     pages = {3541 },
     year = {2021},
     volume = {35},
     number = {10},
     doi = {10.2298/FIL2110541I},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2110541I/}
}
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