New approximation-solvability of general nonlinear operator inclusion couples involving (A,eta,m)-resolvent operators and relaxed cocoercive type operators

作者：Lan Heng you^*; Cui Yi shun; Fu Yu

来源：Communications in Nonlinear Science & Numerical Simulation, 2012, 17(4): 1844-1851.

DOI：10.1016/j.cnsns.2011.09.005

• Generalized resolvent operator technique
• General nonlinear operator inclusion couple
• (A,eta,m)-resolvent operators and relaxed cocoercive type operators
• New perturbed iterative algorithm framework with errors
• Variational graphical convergence

In this paper, we consider and study a class of general nonlinear operator inclusion couples involving (A,eta,m)-resolvent operators and relaxed cocoercive type operators in Hilbert spaces. We also construct a new perturbed iterative algorithm framework with errors and investigate variational graph convergence analysis for this algorithm framework in the context of solving the nonlinear operator inclusion couple along with some results on the resolvent operator corresponding to (A,eta,m)-maximal monotonicity. The obtained results improve and generalize some well known results in recent literatures.

• 出版日期2012-4
• 单位四川大学