The generalized viscosity explicit rules for a family of strictly pseudo-contractive mappings in a q-uniformly smooth Banach space

被引：2
|
作者：
Khuangsatung, Wongvisarut [1 ]
Sunthrayuth, Pongsakorn [1 ]
机构：
[1] Rajamangala Univ Technol Thanyaburi RMUTT, Fac Sci & Technol, Det Math & Comp Sci, Pathum Thani, Thailand
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2018年
关键词：
Strict pseudo-contractions; Banach space; Strong convergence; Fixed point problem; Iterative method; IMPLICIT MIDPOINT RULE; COMMON FIXED-POINTS; STRONG-CONVERGENCE; ITERATIVE METHODS; COUNTABLE FAMILY; THEOREMS; INEQUALITIES; APPROXIMATION; CONSTRUCTION; EXPANSIONS;
D O I：
10.1186/s13660-018-1760-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we construct an iterative method by a generalized viscosity explicit rule for a countable family of strictly pseudo-contractive mappings in a q-uniformly smooth Banach space. We prove strong convergence theorems of proposed algorithm under some mild assumption on control conditions. We apply our results to the common fixed point problem of convex combination of family of mappings and zeros of accretive operator in Banach spaces. Furthermore, we also give some numerical examples to support our main results.
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页数：20
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