Banach–Steinhaus type Theorem in locally convex spaces for $\sigma$-Locally Lipschitzian convex processes

S. Lahrech^a, A. Jaddar^b, J. Hlal^a, A. Ouahab^a, A. Mbarki<sup>c

a</sup> Mohamed first university, Oujda, Morocco (GAFO Laboratory)
^b National School of Managment, Oujda, Morocco (GAFO Laboratory)
^c National School of Applied Sciences, Oujda, Morocco (GAFO Laboratory)

Abstract: The main purpose of this paper is to generalize the Banach–Steinhaus theorem in locally convex spaces for $\sigma$-locally Lipschitzian operators established by $S$. Lahrech in [1] to $\sigma$-locally Lipschitzian convex processes.

Key words: $\sigma$-Locally Lipschitzian convex processes, locally convex spaces, Banach–Steinhaus theorem.

UDC: 517.95

MSC: 49J52, 49J50, 47B37, 46A45

Received: 26.10.2006

Language: English

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