Iterative approximation of fixed points of a general class of non-expansive mappings in hyperbolic metric spaces
Iterative approximation of fixed points of a general class of non-expansive mappings in hyperbolic metric spaces
复制标题
双曲度量空间中一般类非扩张映射不动点的迭代逼近
DOI：
10.1007/s12190-021-01592-z
复制
发表时间：
2021
影响因子：
2.2
通讯作者：
J. Ali
中科院分区：
文献类型：
--
作者：
A. Bera;A. Chanda;L. Dey;J. Ali
本文在双曲度量空间的背景下，讨论了广义Reich-Suzuki非扩张映象的几个弱收敛和强收敛结果。特别地，我们利用最近提出的JF-迭代格式来实现我们的理论，并进一步证明了该算法比迭代法具有更快的收敛速度。此外，我们还探讨了与这类映射的不动点集和近似不动点序列有关的一些有趣的性质。最后，我们提供了相关的例子来证实我们所获得的发现，并使用MATLAB 2017 a软件将新提出的方案与其他一些知名算法进行比较。
In this article, we enquire for a couple of weak and strong convergence results involving generalized-Reich-Suzuki non-expansive mappings in the setting of a hyperbolic metric space. Particularly, we make use of the recently proposed JF-iteration scheme to attain our theories and further, we attest that this algorithm has a faster convergence rate than that ofiteration. Additionally, we explore several interesting properties related to the fixed point set of such mappings and approximate fixed point sequences also. Eventually, we furnish pertinent examples to substantiate our attained findings and compare the newly proposed scheme with that of some other well-known algorithms using MATLAB 2017a software.