Certain Fixed Point Theorems and Application to the Fractal Space |
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Authors: | Ji You-qing Ri Song-il |
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Affiliation: | School of Mathematics, Jilin University, Changchun, 130012 |
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Abstract: | In this paper, we present some important generalizations of the Banach contraction principle, in which the Lipschitz constant k is replaced by some realvalued control function. For the applications to the fractal space, we obtain the fixed point theorem of the some generalized contraction in the space of fractals. |
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Keywords: | fixed point generalized contraction Hausdorff distance fractal topo-logical equivalence |
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