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In this paper we study two approaches for the defi- nition of the first order Orlicz-Sobolev spaces with zero boundary values on arbitrary metric spaces.. We
(2) Theorem 7(b) for Banach spaces and Γ = X ′ is proved in [9]; the case of complete separable metrizable topological vector spaces and arbitrary Γ is considered in [10] (see also
It is shown that the completion of the tensor product of two non-Archimedean weighted spaces of continuous functions is topo- logically isomorphic to another weighted space..
In this paper, we will present several strong and weak convergence results of successive approximations to fixed points of nonexpansive mappings in uni- formly convex Banach
In the first section of this paper, we give some assumptions and prelimi- naries, in section 2 and section 3, we prove the existence of an absorbing set and the existence of
In this work we are concerned with the existence of fixed points for a class of monotone operators defined on locally convex spaces.. For generalities about locally convex spaces
Moghimi, Stability of a functional equation deriving from quadratic and additive functions in quasi-Banach spaces, J.. Park, Hyers–Ulam–Rassias stability of homomorphisms
We will prove that the order ideal generated by the finite rank operators on L p provided with an extension of the positive projective tensor norm is a Banach function space with