The paper is devoted to prove the existence of solutions of a nonlinear integral equation in a WC-Banach algebra. Making use of the measure of weak noncompactness and the weak topology, we prove some fixed point theorems for operators not necessarily weakly sequentially continuous acting in WC-Banach algebra involving weakly compact operators.

中文翻译：

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WC-Banach代数中非线性积分方程解的存在性

本文致力于证明WC- Banach代数中非线性积分方程解的存在性。利用弱非紧性的度量和弱拓扑，我们证明了在WC- Banach 代数中涉及弱紧算子的算子不一定是弱顺序连续作用的一些不动点定理。