Approximation Solvability of a New System of Set-Valued Variational Inclusions Involving Generalized $H(\cdot,\cdot)$-Accretive Mapping in Real $q$-Uniformly Smooth Banach Spaces

DOI：10.3770/j.issn:2095-2651.2014.04.007

 作者 单位 高大鹏 西华师范大学数学与信息学院, 四川 南充 637009 冯世强 西华师范大学数学与信息学院, 四川 南充 637009

文章引入了实$q$-一致光滑Banach空间中一类新的涉及广义$H(\cdot,\cdot)$-增生映射的集值变分包含组并利用与$H(\cdot,\cdot)$-增生性有关的广义预解算子技巧用迭代算法研究了解的存在性和近似可解性.

A new system of set-valued variational inclusions involving generalized $H(\cdot,\cdot)$-accretive mapping in real $q$-uniformly smooth Banach spaces is introduced, and then based on the generalized resolvent operator technique associated with $H(\cdot,\cdot)$-accretivity, the existence and approximation solvability of solutions using an iterative algorithm is investigated.