Iterative approximation of solutions for a class of completely. generalized set-valued quasi-variational inclusions

作者：Ceng, Lu Chuan; Guu, Sy Ming^*; Yao, Jen Chih

来源：Computers & Mathematics with Applications, 2008, 56(4): 978-987.

DOI：10.1016/j.camwa.2008.01.026

• quasi-variational inclusion
• quasi-variational inequality
• m-accretive mapping
• resolvent equation

In this paper we study a new class of completely generalized set-valued quasi-variational inclusion problems in Banach spaces. This inclusion problem is a generalization of the generalized set-valued variational inclusion problem studied by Chang et al. We show that Chang et al.'s algorithm can be modified for finding approximate solutions to this class of quasi-variational inclusion problems. Moreover, the modified algorithm generalizes and improves a number of results in the literature.

• 出版日期2008-8
• 单位上海师范大学; 中山大学