Some New Coupled Fixed Point Results and Applications to a System of Integral Equations

Resumo

This paper concerns with the solvability and asymptotic stability of solutions for a class of
systems of integral equations in BC (R+) which is the space of real valued, continuous and bounded functions
defined on the set of nonnegative real numbers. We firstly present a theorem about existence of coupled fixed
point of an operator and then we give a corollary depending on this theorem. By using this corollary we show
that a class of systems of integral equations has at least one solution which is asymptotically stable. Also we
give an example showing applicability of our main result. Finally we mention an open problem worth focusing
on at the future.