The Tikhonov regularization for vector equilibrium problems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F21%3AA2202AU7" target="_blank" >RIV/61988987:17310/21:A2202AU7 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s10589-020-00258-z" target="_blank" >https://link.springer.com/article/10.1007/s10589-020-00258-z</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10589-020-00258-z" target="_blank" >10.1007/s10589-020-00258-z</a>

Result language
angličtina
Original language name
The Tikhonov regularization for vector equilibrium problems
Original language description
We consider vector equilibrium problems in real Banach spaces and study their regularized problems. Based on cone continuity and generalized convexity properties of vector-valued mappings, we propose general conditions that guarantee existence of solutions to such problems in cases of monotonicity and nonmonotonicity. First, our study indicates that every Tikhonov trajectory converges to a solution to the original problem. Then, we establish the equivalence between the problem solvability and the boundedness of any Tikhonov trajectory. Finally, the convergence of the Tikhonov trajectory to the least-norm solution of the original problem is discussed
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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