eng Science and Education Publishing American Journal of Mathematical Analysis 2014-02-23 2 1 8 14 10.12691/ajma-2-1-3 AJMA2014213 article R.A. Rashwan rr_rashwan54@yahoo.com 1 Department of Mathematics, Assiut University, Assiut, Egypt In this paper we prove common and coincidences fixed point theorems for asymptotically regular mappings under various contractive conditions on a Hilbert space setting. We also study the well - posedness of a common fixed point problem. Our results generalize several well known results in the literature. http://pubs.sciepub.com/ajma/2/1/3/ajma-2-1-3.pdf asymptotically regular mappings common and coincidences fixed points weakly compatible mappings Hilbert spaces