Mathematics and Computational Sciences

Tripled fixed point results via fractional differential equations

Document Type : Original Article

Author

Hojjat Afshari

University of Bonab

https://doi.org/10.30511/mcs.2020.44462
Abstract
This article in want to study a class of mixed monotone operators with convexity on ordered Banach spaces and investigate some new tripled fixed point results, also in this article, we examine the existence and uniqueness of tripled fixed points without assuming the operator to be compact or continuous. As applications, we apply the results obtained in this paper to study the existence and uniqueness of positive solutions for a fractional boundary value problem.

Keywords

Fractional boundary value problem
tripled fixed point
positive solution
[1] H. Afshari, S. Kalantari, D. Baleanu, Solution of fractional differential equations via  Alpha-Sa-Geraghty type mappings, Advances in Difference Equations, 2018(1) 2018, 1-10.
[2] H. Afshari, A. Kheiryan, Tripled fixed point theorems and applications to a fractional differential equation boundary value problem, Asian-European Journal of Mathematics, 10(3) 2017, 1750056.
[3] M. Borcut, Tripled coincidence theorems for contractive type mappings in partially ordered metric spaces, Applied Mathematics and Computation, 218(14) 2012, 7339-7346.
Mathematics and Computational Sciences
Volume 1, Issue 1
Autumn 2020
Pages 9-15

  • Receive Date 09 May 2020
  • Revise Date 23 June 2020
  • Accept Date 05 August 2020

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