This paper provides common fixed point theorems for a commuting family of self mappings in Banach spaces via a measure of non-compactness. The choice of a commuting family of self maps provides a result that is unique in its own right, generalize Darbos fixed point theorem and sp...
Open access
Research Article10.9734/air/2020/v21i1030261
The aim of this paper is to clarify the choice of the self map T : X → X in Kaya et als (F,L) weak contractions by choosing a family Tn, n ∈ N of (F,L) contractions. Motivated by the fact that the uniform limit T of the family of self maps is a better approximation, we are guaran...
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Research Article10.9734/arjom/2020/v16i930220
The aim of this paper is to study viscosity approximation methods in re exive Banach spaces. Let E be a re exive Banach space which admits a weakly sequentially continuous duality mapping a nonempty closed convex subset of a sequence of contractions on C and Tn, n = 1, 2, 3, ·...
Open access
Research Article10.9734/BJMCS/2017/33414
In this paper, we study viscosity approximation methods in re exive Banach spaces. Let X be a re exive Banach space which admits a weakly sequentially continuous duality mapping a nonempty closed convex subset of X, hn, where a sequence of contractions on C and Tn , for a nit...
Open access
Research Article10.9734/BJMCS/2017/33396