In this article, we present some fixed point and coupled theorems adapted from the notion of F-contraction mappings in Banach spaces (B.S.) via measure noncompactness (M.N.C). Then define a new class generalized F-contractions, to upgrade results Falest Latrach (Bull Bell Math Soc Simon Stevin 22:797–812, 2015). Furthermore, investigate solvability system Volterra integral equations Algebra. Fi...