Results 1 to 10 of about 224 (71)
Strong convergence theorems and rate of convergence of multi-step iterative methods for continuous mappings on an arbitrary interval [PDF]
In this article, by using the concept of W-mapping introduced by Atsushiba and Takahashi and K-mapping introduced by Kangtunyakarn and Suantai, we define W(T,N)-iteration and K(T,N)-iteration for finding a fixed point of continuous mappings on an ...
Suthep Suantai, Withun Phuengrattana
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Semistability of iterations in cone spaces [PDF]
The aim of this work is to prove some iteration procedures in cone metric spaces. This extends some recent results of T-stability.Mathematics Subject Classification47J25; 26A18.
A Yadegarnegad +3 more
core +2 more sources
The paper consists of two parts. At first, assuming that (Ω, A, P) is a probability space and (X, ϱ) is a complete and separable metric space with the σ-algebra of all its Borel subsets we consider the set c of all ⊗ 𝒜-measurable and contractive in ...
Baron Karol
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In this paper, we consider the iteration method called ‘Picard-Mann hybrid iterative process’ for finding a fixed point of continuous functions on an arbitrary interval.
Ibrahim Karahan, M. Ozdemir
semanticscholar +2 more sources
On a functional equation involving iterates and powers
We present a complete list of all continuous solutions f:(0,+∞)→(0,+∞) of the equation f2(x)=γ[f(x)]αxβ, where α, β and γ>0 are given real numbers.MSC:39B22, 39B12, 26A18.
J. Morawiec
semanticscholar +2 more sources
Controlled K-Fusion Frame for Hilbert Spaces
K-fusion frames are a generalization of fusion frames in frame theory. In this paper, we extend the concept of controlled fusion frames to controlled K-fusion frames, and we develop some results on the controlled K-fusion frames for Hilbert spaces, which
Assila Nadia +2 more
doaj +1 more source
On summability, integrability and impulsive differential equations in Banach spaces
MSC: 26A06, 26A18, 26A39, 26B12, 26E20, 34A36, 34A37, 34G20, 40A05, 40D05, 40F05, 47H07, 47H10.PurposeTo study summability of families indexed by well-ordered sets of R∪{∞} in normed spaces.
S. Heikkilä
semanticscholar +2 more sources
On the convergence of an iteration method for continuous mappings on an arbitrary interval
In this paper, we consider an iterative method for finding a fixed point of continuous mappings on an arbitrary interval. Then, we give the necessary and sufficient conditions for the convergence of the proposed iterative methods for continuous mappings ...
Nazli Kadioglu, I. Yildirim
semanticscholar +2 more sources
It is well known that C2-transformation φ of the unit interval into itself with a Markov partition (2.1) π = {Ik : k ∈ K} admits φ-invariant density g (g ≥ 0, ∥g∥ = 1) if: (2.2) ∣(φn)′∣ ≥ C1 > 1 for some n (expanding condition); (2.3) ∣φ″(x)/(φ′(y))2 ...
Bugiel Peter +2 more
doaj +1 more source
Studies on concave Young-functions [PDF]
We succeeded to isolate a special class of concave Young-functions enjoying the so-called \emph{density-level property}. In this class there is a proper subset whose members have each the so-called degree of contraction denoted by $c^{\ast}$, and map ...
Agbeko, N. K.
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