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Volume 30, Issue 1
Existence of Solutions to Generalized Vector Quasi-Variational-Like Inequalities with Set-Valued Mappings

Dapeng Gao & Shiqiang Feng

Commun. Math. Res., 30 (2014), pp. 90-96.

Published online: 2021-05

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  • Abstract

In this paper, we introduce and study a class of generalized vector quasi-variational-like inequality problems, which includes generalized nonlinear vector variational inequality problems, generalized vector variational inequality problems and generalized vector variational-like inequality problems as special cases. We use the maximal element theorem with an escaping sequence to prove the existence results of a solution for generalized vector quasi-variational-like inequalities without any monotonicity conditions in the setting of locally convex topological vector space.

  • Keywords

generalized vector quasi-variational-like inequality, maximal element theorem, upper semicontinuous diagonal convexity, locally convex topological vector space.

  • AMS Subject Headings

49J40, 54C60

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-30-90, author = {Dapeng and Gao and and 18817 and and Dapeng Gao and Shiqiang and Feng and and 18818 and and Shiqiang Feng}, title = {Existence of Solutions to Generalized Vector Quasi-Variational-Like Inequalities with Set-Valued Mappings}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {30}, number = {1}, pages = {90--96}, abstract = {

In this paper, we introduce and study a class of generalized vector quasi-variational-like inequality problems, which includes generalized nonlinear vector variational inequality problems, generalized vector variational inequality problems and generalized vector variational-like inequality problems as special cases. We use the maximal element theorem with an escaping sequence to prove the existence results of a solution for generalized vector quasi-variational-like inequalities without any monotonicity conditions in the setting of locally convex topological vector space.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/18990.html} }
TY - JOUR T1 - Existence of Solutions to Generalized Vector Quasi-Variational-Like Inequalities with Set-Valued Mappings AU - Gao , Dapeng AU - Feng , Shiqiang JO - Communications in Mathematical Research VL - 1 SP - 90 EP - 96 PY - 2021 DA - 2021/05 SN - 30 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/18990.html KW - generalized vector quasi-variational-like inequality, maximal element theorem, upper semicontinuous diagonal convexity, locally convex topological vector space. AB -

In this paper, we introduce and study a class of generalized vector quasi-variational-like inequality problems, which includes generalized nonlinear vector variational inequality problems, generalized vector variational inequality problems and generalized vector variational-like inequality problems as special cases. We use the maximal element theorem with an escaping sequence to prove the existence results of a solution for generalized vector quasi-variational-like inequalities without any monotonicity conditions in the setting of locally convex topological vector space.

Dapeng Gao & Shiqiang Feng. (2021). Existence of Solutions to Generalized Vector Quasi-Variational-Like Inequalities with Set-Valued Mappings. Communications in Mathematical Research . 30 (1). 90-96. doi:
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