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Publications (10)
From a fixed point theorists’ view, Hutchinson considered a fractal set as a fixed point problem and applied the Banach contraction principle to prove its existence. In this paper, we present a result about the existence of fractal for a finite iterated condensing function using the degree of nondensifiability.
The purpose of this paper is to study the existence of positive solutions to a class of fractional differential equations with infinite-point boundary value conditions. Our solutions are placed in the space of Lipschitz functions and the main tools used in the proof of the results are a sufficient condition about the relative compactness in Holder...
Background: Kinanthropometric studies affirm that, to assess an individual's body composition, it is only necessary to establish his or her fat and muscle components. The purpose of this study was to assess body composition among schoolchildren from the Canary Islands by means of kinanthropometry and impedance, and to compare the two measuring tech...
We give an existence theorem for some functional-integral equations which includes many key integral and functional equations that arise in nonlinear analysis and its applications. In particular, we extend the class of characteristic functions appearing in Chandrasekhar's classical integral equation from astrophysics and retain existence of its sol...