Year: 2018
Author: Yuexiang Wu, Yanmei Huo
Communications in Mathematical Research , Vol. 34 (2018), Iss. 3 : pp. 212–220
Abstract
In this paper, a class of mixed monotone operators is studied. Some new fixed point theorems are presented by means of partial order theory, and the uniqueness and existence of fixed points are obtained without assuming the operator to be compact or continuous. Our conclusions extend the relevant results. Moreover, as an application of our result, the existence and uniqueness of positive solution for a class of fractional differential equation boundary value problem are proved.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2018.03.03
Communications in Mathematical Research , Vol. 34 (2018), Iss. 3 : pp. 212–220
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: cone and semiorder mixed monotone operator fixed point fractional differential equation