The purpose of this paper is to study the solution of 0∈ 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...The purpose of this paper is to study the solution of 0∈ 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 = δf and provide some numerical examples to support the theoretical findings.展开更多
基金supported by National Science Foundation of China(11071279)National Science Foundation for Young Scientists of China(11101320 and 61202178)+1 种基金the Fundamental Research Funds for the Central Universities(K5051370004K50511700007)
文摘The purpose of this paper is to study the solution of 0∈ 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 = δf and provide some numerical examples to support the theoretical findings.