In this paper, we propose and study a multi-step iterative algorithm that comprises of a finite family of asymptotically $ k_i $-strictly pseudocontractive mappings with respect to $ p, $ and a $ p $-resolvent operator associated with a proper convex and lower semicontinuous function in a $ p $-uniformly convex metric space. Also, we establish the $ \Delta $-convergence of the proposed algorithm to a common fixed point of finite family of asymptotically $ k_i $-strictly pseudocontractive mappings which is also a minimizer of a proper convex and lower semicontinuous function. Furthermore, nontrivial numerical examples of our algorithm are given to show its applicability. Our results complement a host of recent results in literature.

中文翻译：

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p-一致凸度量空间中最小化和不动点问题的多步迭代算法

在本文中，我们提出并研究了一种多步迭代算法，该算法包括有限元的渐近$ k_i $-严格伪压缩映射关于$ p，$和与适当凸和相关联的$ p $ -resolvent运算符。一致凸度量空间中的下半连续函数。同样，我们将拟议算法的$ \ Delta $收敛性建立到渐近$ k_i $-严格伪压缩映射的有限族的一个公共不动点，这也是适当的凸和下半连续函数的极小值。此外，给出了我们算法的非平凡的数值示例，以显示其适用性。我们的结果补充了文献中的许多最新结果。