Geodesic
Sharp Hölder continuous behaviour of solutions to vector network equilibrium problems with a polyhedral ordering cone
Filomat, Tome 36 (2022) no. 13, p. 4563

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DOI

In this paper, we establish some new results for Hölder continuity of solutions to vector variational inequalities which model vector network equilibrium problems with a polyhedral ordering cone under parametric perturbations. Especially, our approach of studying Hölder continuous behaviour is employed by the properties of the regularized gap function based on the ordering cone generated by a matrix.
DOI : 10.2298/FIL2213563T
Classification : 90C33, 90C29, 90B10, 49K40
Keywords: Vector network equilibrium problem, Regularized gap function, Hölder continuity, Polyhedral ordering cone 
Vo Minh Tam. Sharp Hölder continuous behaviour of solutions to vector network equilibrium problems with a polyhedral ordering cone. Filomat, Tome 36 (2022) no. 13, p. 4563 . doi: 10.2298/FIL2213563T
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     author = {Vo Minh Tam},
     title = {Sharp {H\"older} continuous behaviour of solutions to vector network equilibrium problems with a polyhedral ordering cone},
     journal = {Filomat},
     pages = {4563 },
     year = {2022},
     volume = {36},
     number = {13},
     doi = {10.2298/FIL2213563T},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2213563T/}
}
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