Abstract

Let C be a weakly compact convex subset of a strictly convex Banach space
X. Let S be a semitopological semigroup which acts on C so that the action is
weakly separately continuous of weakly continuous Kannan mappings with some additional conditions for which the functions s ∈ S −→ fx(s) = f(sx) and s ∈
S −→ fx(s) = f(xs) belongs to Z a closed linear subspace of l∞(S) containing
constants and invariant under translations for every f ∈ C(S). We prove that if Z
has a left invariant mean then C has a common fixed point of S.

Information

Item Type:	Journal
Divisions:	» Laboratory of Computer Science and Mathematics
ePrint ID:	915
Date Deposited:	2017-10-01
Further Information:	Google Scholar
URI:	https://old.univ-soukahras.dz/en/publication/article/915

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