  In this paper, by using C-class functions some results and common fixed point
theorems are established for generalized JH-operator pairs of Sintu- navarat
and Kumam (Journal of Inequalities and Applications, 67 (2011), 10 pages,
doi:10.1186/1029-242X-2011-67) . Also, a new class of non-commuting
self-mappings as JH$\im$-suboperator pairs are introduced. Final, as
applications, several invariant approximation results are discussed
