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

	A monotone hybrid algorithm for a family of generalized nonexpansive mappings in Banach spaces
International Journal of Nonlinear Analysis and Applications
مقاله 189، دوره 13، شماره 2، مهر 2022، صفحه 2347-2359 اصل مقاله (485.94 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.18349.2005
نویسندگان
Sattar Alizadeh^* ¹؛ Fridoun Moradlou²
¹Department of Mathematics, Marand Branch, Islamic Azad University, Marand, Iran
²Department of Mathematics, Sahand University of Technology, Tabriz, Iran
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
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