Convergence theorems for a general class of nonexpansive mappings in Banach spaces
عنوان مقاله: Convergence theorems for a general class of nonexpansive mappings in Banach spaces
شناسه ملی مقاله: JR_IJNAA-14-6_030
منتشر شده در در سال 1402
شناسه ملی مقاله: JR_IJNAA-14-6_030
منتشر شده در در سال 1402
مشخصات نویسندگان مقاله:
Seyit Temir - Faculty of Arts and Sciences, Adiyaman University, ۰۲۰۴۰, Adiyaman, Turkey
خلاصه مقاله:
Seyit Temir - Faculty of Arts and Sciences, Adiyaman University, ۰۲۰۴۰, Adiyaman, Turkey
In this paper, we introduce a new iteration process for the approximation of fixed points. We show that our iteration process is faster than the existing iteration processes like the M-iteration process and the K-iteration process for contraction mappings. Also, we prove that the new iteration process is stable. Finally, we study the convergence of a new iterative scheme to a fixed point for the (\alpha,\beta) -Reich-Suzuki nonexpansive type mappings in Banach space.
کلمات کلیدی: Fixed point, convergence, Opial’s condition, generalized nonexpansive mappings
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1755493/