A topology τ on a fixed nonempty set X is said to satisfy the weakly continuous representation property if every weakly continuous not necessarily total preorder on the topological space (X, τ) admits a continuous order preserving function. Such a property generalizes the well known continuous representation property of a topology τ on a set X (according to which every continuous total preorder...

In this paper we propose and studied a new composite iterative scheme with certain control con-ditions for viscosity approximation for a zero of accretive operator and xed points problems in areflexive Banach space with weakly continuous duality mapping. Strong convergence of the sequencefxng dened by the new introduced iterative sequence is proved. The main results improve andcomplement the co...

In this paper, by using operations, some characterizations and some properties of fuzzy lower and upper continuous multifunctions and its weaker and stronger forms including fuzzy lower and upper weakly continuous, fuzzy lower and upper θ-continuous, fuzzy lower and upper strongly θ-continuous, fuzzy lower and upper almost strongly θ-continuous, fuzzy lower and upper weakly θ-continuous, fuzzy ...

In this paper, we introduce the notion of weakly e-continuous functions in topological spaces. Weak s-contlnulty and subweak continuity due to Rose [i] are independent of each other and are implied by weak continuity due to Levlne [2]. It is shown that weakly e-continuous surjections preserve connected spaces and that weakly e-contlnuous functions into regular spaces are continuous. Corollary i...

Our main purpose is to introduce the concepts of upper and lower weakly (Λ, sp)- continuous multifunctions. In particular, some characterizations multifunctions are investigated.