A NEW HYBRID APPROXIMATION ALGORITHM BASED ON THE SHRINKING PROJECTION METHOD FOR TWO ASYMPTOTICALLY QUASI-φ-NONEXPANSIVE MAPPINGS

被引：0

作者：

Wangkeeree, Rattanaporn ^{[1
]}

机构：

[1] Naresuan Univ, Fac Sci, Dept Math, Phitsanulok 65000, Thailand

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2012年 / 14卷 / 02期

关键词：

Asymptotically quasi-phi-nonexpansive mappings; Banach space; Generalzied projection; Shrinking projection method; Variational inequality; STRONG-CONVERGENCE THEOREMS; FIXED-POINT; VARIATIONAL-INEQUALITIES; WEAK-CONVERGENCE;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we introduce a new hybrid projection algorithm based on the shrinking projection method for approximating a common element of in the fixed point sets of two asymptotically quasi-phi-nonexpansive mappings and the solutions set of a variational inequality corresponding to an inverse-strongly monotone operator. The strong convergence theorem is established in real Banach spaces. Our results improve and extend the corresponding results announced by recent results.

引用

页码：298 / 313

页数：16

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