Phi-accretive operators and Ekeland's theorem
β Scribed by William O Ray
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 285 KB
- Volume
- 88
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## IN HONOR OF KY FAN Ekeland's variational principle states that if a Gateaux differentiable Ε½ . function f has a finite lower bound although it need not attain it , then 5 X Ε½ .5 for every β ) 0, there exists some point x such that f x F β. This β β Ε½ . Ε½ .
Suppose that X is an arbitrary real Banach space and T : X Βͺ X is a continuous -strongly accretive operator. It is shown that the nonlinear equation Tx s f has a unique solution and under certain conditions both the Mann and Ishikawa itera-Ε½ tion methods with errors introduced by Y. Xu 1998, J. Math
## Abstract Two iterative schemes are designed to approach zeros of __m__βaccretive operators in Banach spaces. The first one is a kind of contractive iteration process involving with the resolvent and the second one is an averaged iteration process of the identity and the resolvent. Strong converg
## Abstract Strong convergence of two iterative schemes is proved to approach some zero of multivalued accretive operators in a Banach space. The first one is a regularization method for Rockafellar's proximal point algorithm of the resolvent and the second one is a kind of Halpern type iteration p