Title of article :
EXISTENCE and UNIQUENESS OF TRIPLED FIXED POINTS FOR MIXED MONOTONE OPERATORS WITH PERTURBATIONS and APPLICATION
Author/Authors :
AFSHARI, HOJJAT Faculty of Basic Sciences - University of Bonab - Bonab, Iran , KHEIRYAN, ALIREZA Department of Mathematics - Shahid Madani University of Azerbaidjan, Iran
Abstract :
In this article, we get the existence and uniqueness of tripled fixed 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
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics