A new relaxed proximal point procedure and applications to nonlinear variational inclusions

作者：Verma Ram U^*

来源：Computers & Mathematics with Applications, 2009, 58(8): 1631-1635.

DOI：10.1016/j.camwa.2009.07.011

• Variational inclusions
• Maximal monotone mapping
• A-maximal monotone mapping
• Generalized resolvent operator

A new relaxed algorithmic procedure based on the notion of A-maximal relaxed monotonicity is developed, and then the convergence analysis in the context of solving a general class of nonlinear inclusion problems is examined. Furthermore, some results involving A-maximal relaxed monotone mappings in a Hilbert space setting are included.

• 出版日期2009-10