%0 Journal Article
%T Coupled fixed point theorems with respect to binary relations in metric spaces
%A Asgari, Mohammad Sadegh
%A Mousavi, Baharak
%J Journal of Nonlinear Sciences and Applications
%D 2015
%V 8
%N 2
%@ ISSN 2008-1901
%F Asgari2015
%X In this paper we present a new extension of coupled fixed point theorems in metric spaces endowed with
a reflexive binary relation that is not necessarily neither transitive nor antisymmetric. The key feature in
this coupled fixed point theorems is that the contractivity condition on the nonlinear map is only assumed
to hold on elements that are comparable in the binary relation. Next on the basis of the coupled fixed
point theorems, we prove the existence and uniqueness of positive definite solutions of a nonlinear matrix
equation.
%9 journal article
%R 10.22436/jnsa.008.02.07
%U http://dx.doi.org/10.22436/jnsa.008.02.07
%P 153--162