In this research article, we connect the \(K^{*}\) iterative process with the class of mappings having property (CSC). We provide some weak and strong convergence theorems regarding the iterative scheme for mappings endowed with property (CSC) in uniformly convex Banach spaces. An example of mappings endowed with property (CSC) is provided which does not satisfy property (C). The \(K^{*}\) iteration process and many other iterative processes are connected with this example to support the theoretical outcome. Our results improve and extend the corresponding well-known results of the current literature.

中文翻译：

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Banach空间中一类满足属性的映射（CSC）的不动点逼近

在这篇研究文章中，我们将\（K ^ {*} \）迭代过程与具有属性的映射类（CSC）联系起来。对于一致凸Banach空间中赋予属性（CSC）的映射的迭代方案，我们提供了一些弱和强收敛定理。提供了一个赋予属性（CSC）的映射示例，该映射不满足属性（C）。的\（K ^ {*} \）迭代过程和许多其它迭代过程与本实施例中，支持了理论结果相连接。我们的结果改进并扩展了当前文献的相应知名结果。