A novel proof of the existence of solutions for a new system of generalized mixed quasi-variational-like inclusions involving (A, eta, m)-accretive operators

作者：Peng Jian Wen^*

来源：Journal of Global Optimization, 2008, 42(4): 559-575.

DOI：10.1007/s10898-008-9278-x

• System of generalized mixed quasi-variational-like inclusions
• (A, eta, m)-accretive operator
• Relaxed cocoercive mapping
• Fixed point theorem
• Existence

In this paper, we introduce a new system of generalized mixed quasi-variational-like inclusions with (A, eta, m)-accretive operators and relaxed cocoercive mappings. By using the fixed point theorem of Nadler, we prove the existence of solutions for this general system of generalized mixed quasi-variational-like inclusions and its special cases. The results in this paper unify, extend and improve some known results in the literature. The novel proof method is simpler than those iterative algorithm approach for proving the existence of solutions of all classes of system of set-valued variational inclusions in the literature.

• 出版日期2008-12
• 单位重庆师范大学