Coincidence and common fixed points of hybrid contractions

In this paper, we show the existence of solutions of functional equations fix Є Sx⊓ Tx and x = fix Є Sx ⊓ Tx under certain nonlinear hybrid contraction and asymptotic regularity conditions, generalize and improve a recent result due to Kaneko concerning common fixed points of multivalued mappings weakly commuting with a single-valued mapping and satisfying a generalized contraction type. Some related results are also obtained.