一类广义集值φ-强增生型变分包含问题解的存在性与迭代逼近  

On the Existence and Iterative Approximation of Solutions for a Class of Variational Inclusions with Generalized Set-vealued φ-strongly Accretive Type Mappings

作　　者：张勇[1] 

机构地区：[1]成都信息工程学院计算科学系,四川成都610103

出　　处：《四川师范大学学报（自然科学版）》2006年第6期688-691,共4页Journal of Sichuan Normal University（Natural Science）

摘　　要：研究Banach空间中一类广义集值φ-强增生型变分包含问题,在实的q-一致光滑Banach空间中,证明了这类变分包含问题解的存在唯一性及其Mann迭代程序的收敛性,所得结果推广了最近文献的一些结果.The purpose of this paper is to investigate a new class of variational inclusions with generalized set-valued φ -strongly accretive type mapping in a Banach space X. We prove the existence and uniqueness of solutions to this class of variational inclusions and convergence of the Mann iteration process for approximation solutions. The results obtained in tiffs paper improve some recent results in this field.

关 键 词：变分包含 广义集值φ-强增生映象 广义对偶映象 MANN迭代序列 广义集值映象 

分 类 号：O177.91[理学—数学]