Generalized form of fixed-point theorems in generalized Banach algebra relative to the weak topology with an application

In this paper, a general hybrid fixed point theorem for the contractive

mappings in generalized Banach spaces is proved via measure of weak

non-compactness and it is further applied to fractional integral equations

for proving the existence results for the solutions under mixed Lipschitz

and weakly sequentially continuous conditions. Finally, an example is given

to illustrate the result.