Existence and Uniqueness of Fixed Points for Mixed Monotone Operators with Application

Authors

  • Yuexiang Wu College of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan, 030006
  • Yanmei Huo College of Economics, Shanxi University of Finance and Economics, Taiyuan, 030006

DOI:

https://doi.org/10.13447/j.1674-5647.2018.03.03

Keywords:

cone and semiorder, mixed monotone operator, fixed point, fractional differential equation

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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Published

2019-12-17

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Issue

Vol. 34 No. 3 (2018)

Section

Articles

How to Cite

Existence and Uniqueness of Fixed Points for Mixed Monotone Operators with Application. (2019). Communications in Mathematical Research, 34(3), 212-220. https://doi.org/10.13447/j.1674-5647.2018.03.03