Exploring fixed point property for an l¹ -like set and l¹ like subspace in c0 with an equivalent norm and a c0 like space Lorentz-Marchinkiewicz Space l0w,∞.

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 l⁰ _{w, ∞} space. It is seen that the subspace given with equivalent norm and Lorentz-Marcinkiewicz space l⁰_w,∞ have weak fixed point property (w-FPP) but they both fail the FPP for nonexpansive mappings (n.e.). [ABSTRACT FROM AUTHOR]