The aim of this paper is twofold: (a) to revisit the results in Iqbal et al. (Numer Algorithms 1–21, 2019. https:doi.org/10.1007/s11075-019-00854-z) and prove some convergence and stability results for the subclass of multivalued contractive operators under some mild conditions (b) to introduce a multivalued Reich-Suzuki type \(\alpha \)-nonexpansive mappings and present some fixed point results for this class of mappings. We considered a more natural notion of stability called weak \(w^{2}\)-stability instead of simple stability in Iqbal et al. (Numer Algorithms 1–21, 2019. https:doi.org/10.1007/s11075-019-00854-z). Some illustrative examples to support the results obtained herein are also presented.

本文的目的是双重的：（a）重新审视Iqbal等人的结果。（Numer Algorithms 1-21，2019. https://doi.org/10.1007/s11075-019-00854-z）并证明了在某些温和条件下多值压缩算子的子类的一些收敛性和稳定性结果（b）引入了多值Reich-Suzuki类型\（\ alpha \）-非扩展映射，并提供此类映射的一些不动点结果。我们考虑了更自然的稳定性概念，称为弱\（w ^ {2} \）-稳定性，而不是Iqbal等人的简单稳定性。（Numer Algorithms 1-21，2019.https：//doi.org/10.1007/s11075-019-00854-z）。还提供了一些示例性示例来支持此处获得的结果。