6 Result(s)
within
Dušan Rakić
Mathematics
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Article
Open AccessOn some new fixed point results in fuzzy b-metric spaces
This paper consists of several fixed point theorems in the fuzzy b-metric spaces. As an important result, we give a sufficient condition for a sequence to be Cauchy in the fuzzy b-metric space. Thus we simplify t...
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Article
Multiresolution expansions and wavelets in Gelfand–Shilov spaces
We study approximation properties generated by highly regular scaling functions and orthonormal wavelets. These properties are conveniently described in the framework of Gelfand–Shilov spaces. Important exampl...
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Article
The wavelet transforms in Gelfand–Shilov spaces
We describe local and global behavior of wavelet transforms of ultra-differentiable functions. The results are given in the form of continuity properties of the wavelet transform on Gelfand–Shilov type spaces ...
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Article
Open AccessAn altering distance function in fuzzy metric fixed point theorems
The aim of this paper is to improve conditions proposed in recently published fixed point results for complete and compact fuzzy metric spaces (Ćirić in Chaos Solitons Fractals 42:146-154, 2009; Shen et al. in Ap...
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Article
Open AccessA fixed point theorem for a special class of probabilistic contraction
In this paper, a special class of probabilistic contraction will be considered. Using the theory of countable extension of t-norms, we proved a fixed point theorem for such a class of map**s f : S → S, where ...
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Article
Tauberian Theorems for the Wavelet Transform
We make a complete wavelet analysis of asymptotic properties of distributions. The study is carried out via Abelian and Tauberian type results, connecting the boundary asymptotic behavior of the wavelet transf...
