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Paper   IPM / M / 18308
School of Mathematics
  Title:   Asymptotic analysis and the Weierstrass theorem in dual spaces
  Author(s): 
1.  Majid Fakhar
2.  Hamid Reza Hajisharifi (Joint with F. Fakhar)
  Status:   Published
  Journal: J. Math. Anal. Appl.
  Vol.:  551
  Year:  2025
  Pages:   1-15
  Supported by:  IPM
  Abstract:
In this paper, we introduce a new concept of asymptotic function to derive the Weierstrass theorem for transfer weakly lower continuous functions without coercivity condition in dual spaces that are endowed with the weak∗ topology. Moreover, by this asymptotic function we establish a necessary and sufficient condition for a minimization problem within the framework of transfer weakly lower continuous and quasiconvex functions in dual spaces.

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