Weak and strong convergence of splitting algorithms in Banach spaces
X Qin, SY Cho, JC Yao - Optimization, 2020 - Taylor & Francis
X Qin, SY Cho, JC Yao
Optimization, 2020•Taylor & Francis… Strong and weak convergence theorems of common solutions are established in the
framework of uniformly convex and q-uniformly smooth Banach spaces. … The purposes of this
paper are to study nonexpansive and accretive nonself operators based on a Mann-like
iterative algorithm and a viscosity-like iterative algorithm. Strong and weak convergence
theorems of common solutions are established in the framework of uniformly convex and q-uniformly
smooth Banach spaces. In order to obtain our main results, we also need the following lemmas. …
framework of uniformly convex and q-uniformly smooth Banach spaces. … The purposes of this
paper are to study nonexpansive and accretive nonself operators based on a Mann-like
iterative algorithm and a viscosity-like iterative algorithm. Strong and weak convergence
theorems of common solutions are established in the framework of uniformly convex and q-uniformly
smooth Banach spaces. In order to obtain our main results, we also need the following lemmas. …
Abstract
Accretive and nonexpansive operators are investigated based on two iterative algorithms. Strong and weak convergence theorems of common solutions are established in the framework of uniformly convex and q-uniformly smooth Banach spaces.
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