Cheng-Kui Zhong

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A vector-valued Ekeland’s variational principle and its equivalents in fuzzy metric space are presented in this paper. Our result uni es and extends some of the previous results about single-valued and vector-valued Ekeland’s variational principle. As an application, we obtain a xed-point theorem in fuzzy metric space under a new contractive condition,(More)
In this paper, we are concerned with the asymptotic behavior of the solution for the non-autonomous parabolic equation with nonlinear Laplacian principal part in R n. The existence of the (L2(Rn),L2(Rn)) -uniform attractor, the (L2(Rn),Lp(Rn)) -uniform attractor and the (L2(Rn),W 1,p(Rn)∩Lq(Rn)) -uniform attractor will be proved. Mathematics subject(More)
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