四川师范大学学报(自然科学版)
四川師範大學學報(自然科學版)
사천사범대학학보(자연과학판)
JOURNAL OF SICHUAN NORMAL UNIVERSITY(Natural Science)
2010年
1期
62-68
,共7页
变分包含%非扩张映象%黏性逼近%多值极大单调映象%逆-强单调映象%不动点
變分包含%非擴張映象%黏性逼近%多值極大單調映象%逆-彊單調映象%不動點
변분포함%비확장영상%점성핍근%다치겁대단조영상%역-강단조영상%불동점
variational inclusion%nonexpansive mapping%viscosity approximation%multi-valued maximal monotone mapping%inverse-strongly monotone mapping%fixed point
在Hilbert空间中引入和研究了一种新的迭代算法,用以寻求具多值极大单调映象和逆-强单调映象的变分包含的解集与非扩张映象的不动点集的公共元.在适当的条件下,用黏性逼近算法证明了逼近于这一公共元的某些强收敛定理.所得结果改进和推广了文献的相应结果.
在Hilbert空間中引入和研究瞭一種新的迭代算法,用以尋求具多值極大單調映象和逆-彊單調映象的變分包含的解集與非擴張映象的不動點集的公共元.在適噹的條件下,用黏性逼近算法證明瞭逼近于這一公共元的某些彊收斂定理.所得結果改進和推廣瞭文獻的相應結果.
재Hilbert공간중인입화연구료일충신적질대산법,용이심구구다치겁대단조영상화역-강단조영상적변분포함적해집여비확장영상적불동점집적공공원.재괄당적조건하,용점성핍근산법증명료핍근우저일공공원적모사강수렴정리.소득결과개진화추엄료문헌적상응결과.
In this paper, we introduce a new iterative scheme for finding a common element of the set of solutions for the variational inclusion problem with multi-valued maximal monotone mapping and inverse-strongly monotone mappings and the set of common fixed point for a nonexpansive mappings in Hilbert space. It is shown that under suitable conditions by the viscosity approximation algorithms, some strong convergence theorems for approximating to this common elements are proved. The results presented in the paper extend and improve some recent results.
