In this paper, we consider the class of monotone ρ-nonexpansive semigroups and give existence and convergence results for common fixed points. First, we prove that the set of common fixed points is nonempty in uniformly convex modular spaces and modular spaces. Then we introduce an iteration algorithm to approximate a common fixed point for the same class of semigroups.

中文翻译：

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模空间中单调ρ-非扩张半群的公共不动点

本文考虑了单调ρ-非扩张半群的类，并给出了公共不动点的存在性和收敛性结果。首先，我们证明在一致凸模空间和模空间中，公共不动点集是非空的。然后，我们介绍了一种迭代算法，用于近似估计同一类半群的公共不动点。