Khuangsatung Wongvisarut, Sunthrayuth Pongsakorn
Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi (RMUTT), Pathumthani, Thailand.
J Inequal Appl. 2018;2018(1):167. doi: 10.1186/s13660-018-1760-5. Epub 2018 Jul 11.
In this paper, we construct an iterative method by a generalized viscosity explicit rule for a countable family of strictly pseudo-contractive mappings in a -uniformly smooth Banach space. We prove strong convergence theorems of proposed algorithm under some mild assumption on control conditions. We apply our results to the common fixed point problem of convex combination of family of mappings and zeros of accretive operator in Banach spaces. Furthermore, we also give some numerical examples to support our main results.
在本文中，我们针对一致光滑的巴拿赫空间中一族可数的严格伪压缩映射，通过广义粘性显式规则构造了一种迭代方法。在关于控制条件的一些温和假设下，我们证明了所提算法的强收敛定理。我们将结果应用于巴拿赫空间中映射族的凸组合的公共不动点问题以及增生算子的零点问题。此外，我们还给出了一些数值例子来支持我们的主要结果。
