The necessary conditions for existence of a common fixed point of two mappings satisfying
generalized b-order contractive condition in the setting of a partially ordered b-complete b-metric space
are presented. Also, we study well-posedness of common fixed point problem for generalized b-order
contractive mappings. We employ our result to establish an existence of a solution of an integral equation.http://www.pmf.ni.ac.rs/filomatam2017Mathematics and Applied Mathematic