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Generalized bi-quasi-variational-like inequalities on non-compact sets

조열제|Mohammad S. R. Chowdhury|Je Ai Ha
대한수학회 (The Korean Mathematical Society)|2017.10|대한수학회논문집 (Communications of the KMS)|제32권 제4호|pp. 933-957

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키워드

generalized bi-quasi-variational-like inequalities($\eta$-$h$)-quasi-pseudomonotone type I operatorslocally convex Hausdorff topological vector spaces
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초록

In this paper, we prove some existence results of solutions for a new class of generalized bi-quasi-variational-like inequalities (GBQVLI) for ($\eta$-$h$)-quasi-pseudo-monotone type I and strongly ($\eta$-$h$)-quasi-pseudo-monotone type I operators defined on non-compact sets in locally convex Hausdorff topological vector spaces. To obtain our results on GBQVLI for ($\eta$-$h$)-quasi-pseudo-monotone type I and strongly ($\eta$-$h$)-quasi-pseudo-monotone type I operators, we use Chowdhury and Tan's generalized version of Ky Fan's minimax inequality as the main tool.

Abstract

In this paper, we prove some existence results of solutions for a new class of generalized bi-quasi-variational-like inequalities (GBQVLI) for ($\eta$-$h$)-quasi-pseudo-monotone type I and strongly ($\eta$-$h$)-quasi-pseudo-monotone type I operators defined on non-compact sets in locally convex Hausdorff topological vector spaces. To obtain our results on GBQVLI for ($\eta$-$h$)-quasi-pseudo-monotone type I and strongly ($\eta$-$h$)-quasi-pseudo-monotone type I operators, we use Chowdhury and Tan's generalized version of Ky Fan's minimax inequality as the main tool.

참고문헌 (34)

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