Fixed Point Theorems for Multifunctions in Topological Vector Spaces
β Scribed by T. Cardinali; F. Papalini
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 301 KB
- Volume
- 186
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
The main purpose of this paper is to introduce the concept of F-type topological spaces and to establish a variational principle and a fixed point theorem in the kind of spaces, which extend Ekeland's variational principle and Caristi's fixed point theorem, respectively.
## 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