APPROXIMATING SOLUTION OF 0 is an element of T(x) FOR AN H-MONOTONE OPERATOR IN HILBERT SPACES

作者：Liu, Sanyang^*; He, Huimin; Chen, Rudong

来源：Acta Mathematica Scientia, 2013, 33(5): 1347-1360.

• H-monotone operators
• inclusion problem 0 is an element of T(x)
• resolvent operator
• strong convergence
• weak convergence

The purpose of this paper is to study the solution of 0 is an element of T(x) for an H-monotone operator introduced in [Fang and Huang, Appl. Math. Comput. 145(2003)795-803] in Hilbert spaces, which is the first proposal of it's kind. Some strong and weak convergence results are presented and the relations between maximal monotone operators and H-monotone operators are analyzed. Simultaneously, we apply these results to the minimization problem for T = partial derivative f and provide some numerical examples to support the theoretical findings.

• 出版日期2013-9
• 单位西安电子科技大学; 天津工业大学