Geodesic
Levitin-Polyak well-posedness for lexicographic vector equilibrium problems
Wangkeeree, Rabian1 ; Bantaojai, Thanatporn2
1 Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand;Research Center for Academic Excellence in Mathematics, Naresuan University, Phitsanulok 65000, Thailand
2 Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 2, p. 354-367.

Voir la notice de l'article provenant de la source International Scientific Research Publications

We introduce the notions of Levitin-Poljak (LP) well-posedness and LP well-posedness in the generalized sense for the lexicographic vector equilibrium problems. Then, we establish some sufficient conditions for lexicographic vector equilibrium problems to be LP well-posedness at the reference point. Numerous examples are provided to explain that all the assumptions we impose are very relaxed and cannot be dropped. The results in this paper unify, generalize and extend some known results in the literature.
DOI : 10.22436/jnsa.010.02.02
Classification : 90C33, 49K40
Keywords: Levitin-polyak well-posedness, lexicographic vector equilibrium problems, metric spaces.

Wangkeeree, Rabian 1 ; Bantaojai, Thanatporn 2

1 Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand;Research Center for Academic Excellence in Mathematics, Naresuan University, Phitsanulok 65000, Thailand
2 Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand 
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Wangkeeree, Rabian; Bantaojai, Thanatporn. Levitin-Polyak well-posedness for   lexicographic vector equilibrium problems. Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 2, p. 354-367. doi : 10.22436/jnsa.010.02.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.02.02/

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