GENERALIZED FORM OF FIXED-POINT THEOREMS IN GENERALIZED BANACH ALGEBRA RELATIVE TO THE WEAK TOPOLOGY WITH AN APPLICATION

Abstract

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.