Convergence of a Cyclic Algorithm for the Split Common Fixed Point Problem Without Continuity Assumption

被引：10

作者：

Wang, Fenghui ^{[1
]}

Cui, Huanhuan ^{[1
]}

机构：

[1] Luoyang Normal Univ, Luoyang 471022, Peoples R China

来源：

MATHEMATICAL MODELLING AND ANALYSIS | 2013年 / 18卷 / 04期

基金：

中国国家自然科学基金;

关键词：

directed mapping; split common fixed point problem; demicontractive mapping; CQ ALGORITHM; FEASIBILITY; PROJECTION;

D O I：

10.3846/13926292.2013.839963

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In their recent paper (Math. Model. Anal., 17(4):457{466, 2012), Tang, Peng and Liu proposed a cyclic algorithm for solving the split common fixed point problem and established its weak convergence under some certain conditions. In this paper, we shall present a simple proof of such a result and more over we shall remove one condition, continuity of the mapping involved, ensuring the convergence of the algorithm.

引用

页码：537 / 542

页数：6

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