Taiwanese Journal of Mathematics


D. Ariza-Ruiz and J. Garcia-Falset

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The purpose of this article is to study the existence of a coincidence point for two mappings defined on a nonempty set and taking values on a Banach space using the fixed point theory for nonexpansive mappings. Moreover, this type of results will be applied to obtain the existence of solutions for some classes of ordinary differential equations.

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Taiwanese J. Math., Volume 19, Number 6 (2015), 1661-1692.

First available in Project Euclid: 4 July 2017

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Primary: 34A10 34A08: Fractional differential equations 47H09: Contraction-type mappings, nonexpansive mappings, A-proper mappings, etc.

differential equations fractional derivative coincidence problem fixed point Ulam-Hyers stability


Ariza-Ruiz, D.; Garcia-Falset, J. EXISTENCE AND UNIQUENESS OF SOLUTION TO SEVERAL KINDS OF DIFFERENTIAL EQUATIONS USING THE COINCIDENCE THEORY. Taiwanese J. Math. 19 (2015), no. 6, 1661--1692. doi:10.11650/tjm.19.2015.5019. https://projecteuclid.org/euclid.twjm/1499133733

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