A monotone hybrid algorithm for a family of generalized nonexpansive mappings in Banach spaces

نویسندگان
Alizadeh, Sattar ID 1
Moradlou, Fridoun ID 2

1 Department of Mathematics, Marand Branch, Islamic Azad University, Marand, Iran

2 Department of Mathematics, Sahand University of Technology, Tabriz, Iran

doi
10.22075/ijnaa.2021.18349.2005
چکیده

In this paper, we propose a new monotone hybrid method for getting a common fixed point of a family of generalized nonexpansive mappings and prove a  strong convergence theorem for this family in the framework of Banach spaces. Using this theorem, we obtain some new results for the class of generalized nonexpansive mappings and finitely many generalized nonexpansive mappings. Using the FMINCON optimization toolbox in MATLAB, we give a numerical example to illustrate the usability of our results.

کلیدواژه‌ها
Monotone hybrid algorithm, Fixed point, Generalized nonexpansive mapping, strong convergence, NST-condition