Fixed Point for Multivalued Increasing Operators
β Scribed by Nguyen Bich Huy; Nguyen Huu Khanh
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 48 KB
- Volume
- 250
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Some new fixed point theorems are presented for operators of accretive, nonlinear contractive, or nonexpansive type. These results are then used to establish a new existence principle for second order boundary value problems in Hilbert spaces.
Let D be a closed nonempty subset of a Banach space X and T : D Βͺ X Γ 4 2 \_ a multivalued contraction with closed values, i.e., each Tx is a nonempty closed subset of X and there exists 0 F k -1 such that 5 5 H Tx, Ty F k x y y , x, y g D, ## Ε½ . where H denotes the Hausdorff metric H A, B s ma