Banach空间中φ-强增生型变分包含问题解的Ishikawa迭代逼近  

On the Ishikawa Iterative Approximation of Solutions to Variational Inclusions with φ-strongly Accretive Type Mappings in Banach Spaces

作　　者：张石生[1] 谷峰[2] 崔伟业[2] 

机构地区：[1]四川大学数学系,四川成都610064 [2]齐齐哈尔大学数学系,黑龙江齐齐哈尔161006

出　　处：《应用数学》2000年第2期1-8,共8页Mathematica Applicata

基　　金：国家自然科学基金资助课题!(199710 58)

摘　　要：本文引入和研究 Banach空间中φ-强增生型变分包含解的存在性、唯一性及Ishikawa迭代过程收敛问题 ,所得结果改进和推广了 [2 ,3,5 - 9,1 2 - 1 4]等相关结果 .The purpose of this paper is to introduce and study the existence and uniqueness of solutions and the convergence problem of Ishikawa iterative processes for a class of φ strongly accretive type variational inclusions in Banach spaces. The results presented in this paper extend and improve the corresponding results of [2,3,5 9,12 14].

关 键 词：变分包含 ψ-强增生映象 ISHIKAWA迭代序列 解 

分 类 号：O177.91[理学—数学]