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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.
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참고문헌 (23)
참고문헌 신청
A. Bensoussan / 1973 / Nouvelle formulation des problemes de contr^ole impul-sionnel et applications / C. R. Acad. Sci. Paris Ser. A-B 29 : 1189 ~ 1192
C. Baiocchi / 1984 / Variational and Quasi-variational Inequalities: Applications to Free-Boundary Problems / Wiley-Intersci.
D. Chan / 1982 / The generalized quasi-variational inequality problem / Math. Oper. Res 7 (2) : 211 ~ 222
F. E. Browder / 1968 / The fixed point theory of multi-valued mappings in topological vector spaces / Math. Ann 177 : 283 ~ 301
H. Brezis / 1972 / A remark on Ky Fan's minimax principle / Boll. Un. Mat. Ital 6 (4) : 293 ~ 300
C. Baiocchi / 1984 / Variational and Quasi-variational Inequalities: Applications to Free-Boundary Problems / Wiley-Intersci.
D. Chan / 1982 / The generalized quasi-variational inequality problem / Math. Oper. Res 7 (2) : 211 ~ 222
F. E. Browder / 1968 / The fixed point theory of multi-valued mappings in topological vector spaces / Math. Ann 177 : 283 ~ 301
H. Brezis / 1972 / A remark on Ky Fan's minimax principle / Boll. Un. Mat. Ital 6 (4) : 293 ~ 300
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