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Fractals of generalized F− Hutchinson operator

100%
Nazir T., Silvestrov S., Abbas M.
Waves, Wavelets and Fractals
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2016
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tom 2
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nr 1
EN
The aim of this paper is to construct a fractal with the help of a finite family of F− contraction mappings, a class of mappings more general than contraction mappings, defined on a complete metric space. Consequently, we obtain a variety of results for iterated function systems satisfying a different set of contractive conditions. Some examples are presented to support the results proved herein. Our results unify, generalize and extend various results in the existing literature.
2
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Common fixed point results of four mappings in ordered partial metric spaces

100%
Nazir T., Silvestrov S., Abbas M.
Waves, Wavelets and Fractals
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2016
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tom 2
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nr 1
EN
On partially ordered set equipped with a partial metric, we study the sufficient conditions for existence of common fixed points of various mappings satisfying generalized weak contractive conditions. These results unify several comparable results in the existing literature.We also study the existence of nonnegative solution of implicit nonlinear integral equation. Furthermore, we study the fractal of finite family of generalized contraction mappings defined on a partial metric space.
3
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Existence and approximation results for SKC mappings in Busemann spaces

100%
Khan S. H., Abbas M., Nazir T.
Waves, Wavelets and Fractals
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2017
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tom 3
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nr 1
48-60
EN
In this paper, we first discuss some properties of SKC mappings in the context of Busemann spaces and obtain a demiclosedness principle.We then prove the existence and approximation results for SKC mappings in a uniformly convex Busemann space. At the end, we give a numerical example in support of our main result. This example also shows that our iterative process is faster than some well-known iterative processes even for SKC mappings. Our results are certainly more general than many results in the contemporary literature.
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