Year: 2015
Author: You-Qing Ji, Song-Il Ri
Communications in Mathematical Research , Vol. 31 (2015), Iss. 2 : pp. 180–192
Abstract
In this paper, we present some important generalizations of the Banach contraction principle, in which the Lipschitz constant $k$ is replaced by some real-valued 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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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2015.02.09
Communications in Mathematical Research , Vol. 31 (2015), Iss. 2 : pp. 180–192
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: fixed point generalized contraction Hausdorff distance fractal topological equivalence.