EXISTENCE AND UNIQUENESS OF TRIPLED FIXED POINTS FOR MIXED MONOTONE OPERATORS WITH PERTURBATIONS AND APPLICATION

HOJJAT AFSHARI, ALIREZA KHEIRYAN

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Abstract

In this article, we get the existence and uniqueness of tripled fixed points without assuming the operator to be compact or continuous, which extends the existing corresponding results. As applications, we utilize the results obtained in this paper to study the existence and uniqueness of positive solutions for a fractional differential equation boundary value problem.

Keywords

tripled fixed point, mixed monotone operator, positive solution, fractional differential equation.