APPROXIMATING FIXED POINTS FOR LIPSCHITZIAN SEMIGROUP AND INFINITE FAMILY OF NONEXPANSIVE MAPPINGS WITH THE MEIR-KEELER TYPE CONTRACTION IN BANACH SPACES، انجام شده توسط حسین پیری

مشخصات پژوهش

عنوان	APPROXIMATING FIXED POINTS FOR LIPSCHITZIAN SEMIGROUP AND INFINITE FAMILY OF NONEXPANSIVE MAPPINGS WITH THE MEIR-KEELER TYPE CONTRACTION IN BANACH SPACES
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	Smooth Bacach space, Uniformly convex Bacach space, Asymptotically nonexpansive mapping, Lipschitzian semigroup, Invariant mean.
پژوهشگران	حسین پیری (نفر اول)، Poom Kumam (نفر دوم)، Kanokwan Sitthithakerngkiet (نفر سوم)

چکیده

In this paper we prove strong convergence theorems for approximating the fixed point of Lipschitzian semigroup and infinite family of nonexpansive mappings with respect to finite family of sequence {µi,n} m, ∞ i=1,n=1 of left strong regular invariant means and Meir-Keeler type contraction in uniformly convex and smooth Banach spaces. Our result extend and improve many recent results.