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Paper IPM / M / 18308 |
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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 weakâ 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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