Fixed Point Theorems for Affine Operators on Vector Spaces
β Scribed by M. Edelstein; K.K. Tan
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 251 KB
- Volume
- 181
- 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.
## Abstract Let __E__ be a Banach space and Ξ¦ : __E__ β β a π^1^βfunctional. Let π« be a family of semiβnorms on __E__ which separates points and generates a (possibly nonβmetrizable) topology π―~π«~ on __E__ weaker than the norm topology. This is a special case of a gage space, that is, a topological
## Abstract In this paper, we introduce an iterative scheme for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality for an __Ξ±__ βinverse strongly monotone mapping in a Hilbert space. We show that the sequence converge