A Fixed Point Theorem for Uniformly Lipschitzian Mappings in Modular Vector Spaces

M. R. Alfuraidan, Mohamed Amine Khamsi, N. Manav

Abstract


We give a xed point theorem for uniformly Lipschitzian mappings
dened in modular vector spaces which have the uniform normal structure
property in the modular sense. We also discuss this result in the variable
exponent space
ℓp(:) =
{
(xn) ∈ RN
;
1Σ
n=0
|λ xn|p(n) < ∞ for some λ > 0
}
.


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