An existence result for a system of inclusion problems with applications

✍ Scribed by Jong Kyu Kim; Ya-ping Fang; Nan-jing Huang

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 231 KB
• Volume: 21
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/j.aml.2007.10.025

✦ Synopsis

In this work we introduce a system of inclusion problems, which can be regarded as a generalization of the system of equilibrium problems, the system of variational inequality problems, the system of optimization problems, and the inclusion problems. For suitable conditions, we prove an existence result for this system. As applications, we give some existence theorems for the system of equilibrium problems and the system of optimization problems.