Painleve-Kuratowski Convergence of Solution Sets for Generalized Strong Vector Quasi-Equilibrium Problem with Domination Structure
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Bantaojai, Thanatporn
[1
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Wangkeeree, Rabian
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Naresuan Univ, Dept Math, Fac Sci, Phitsanulok, Chang Wat Phits, ThailandValaya Alongkorn Rajabhat Univ Royal Patronage, Math English Program, Fac Educ, Klongluang, Phathum Thani, Thailand
Wangkeeree, Rabian
[2
]
机构:
[1] Valaya Alongkorn Rajabhat Univ Royal Patronage, Math English Program, Fac Educ, Klongluang, Phathum Thani, Thailand
[2] Naresuan Univ, Dept Math, Fac Sci, Phitsanulok, Chang Wat Phits, Thailand
This paper is concerned with the stability of the solution set for a generalized strong vector quasi-equilibrium problem with domination structure (GSVQEP), that is, we study Painleve-Kuratowski convergence of the solution sets with a sequence of mappings converging continuously and sequence of set converging in the sense of Painleve-Kuratowski. Our main results are new and different from the existing ones in the literature. Illustrating examples are provied.