The Variational Principle and Fixed Point Theorems in Certain Topological Spaces
β Scribed by Jin-Xuan Fang
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 189 KB
- Volume
- 202
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
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.
π SIMILAR VOLUMES
## 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
The notion of a βΏ, C -contraction type multivalued mapping is introduced. This notion is a generalization of the notion of C-contraction introduced by T. L. Hicks Ε½ .