GENERALIZED FORM OF FIXED POINT THEOREMS IN BANACH ALGEBRAS UNDER WEAK TOPOLOGY WITH AN APPLICATION

najib kaddachi

Abstract


In this manuscript, by means of the technique of measures of weak noncompactness, we
establish a generalized form of fixed point theorems for a 2*2 block operator matrix involving multivalued
maps acting on suitable Banach algebras. The results obtained are then applied to a coupled system of
nonlinear integral equations.


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