In　this　paper,　the　common　solution　problem　(P1)　of　generalized　equilibrium　problems　for　a　system　of　inverse-strongly　monotone　mappings　{A(k)}(k=1)(N)　and　a　system　of　bifunctions　{f(k)}(k=1)(N)　satisfying　certain　conditions,　and　the　common　fixed-point　problem　(P2)　for　a　family　of　uniformly　quasi-phi-asymptotically　nonexpansive　and　locally　uniformly　Lipschitz　continuous　or　uniformly　Holder　continuous　mappings　{S-i}(i=1)(infinity)　are　proposed.　A　new　iterative　sequence　is　constructed　by　using　the　generalized　projection　and　hybrid　method,　and　a　strong　convergence　theorem　is　proved　on　approximating　a　common　solution　of　(P1)　and　(P2)　in　Banach　space.　2000　MSC:　26B25,　40A05