Abstract
In this paper, we investigate fixed point property for an l1 like subspace in c0 with an equivalent norm and talk about Lorentz-Marcinkiewicz spaces and fixed point property (FPP) for lw,∞0 space. It is seen that the subspace given with equivalent norm and Lorentz-Marcinkiewicz space lw,∞0 have weak fixed point property (w-FPP) but they both fail the FPP for nonexpansive mappings (n.e.).
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