Fixed point theory in WC--Banach algebras

Authors: AREF JERIBI, BILEL KRICHEN, BILEL MEFTEH

Abstract: In this paper, we will prove some fixed point theorems for the sum and the product of nonlinear weakly sequentially continuous operators acting on a WC--Banach algebra. Our results improve and correct some recent results given by Banas and Taoudi, and extend several earlier works using the condition $(\mathcal{P})$.

Keywords: WC--Banach algebra, fixed point theorems, weak topology, measure of weak noncompactness

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